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Which of the following lists ALL the equations that are linear?

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Algebra Math

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Mar 14, 2020

Cards (46)

Section 1

(46 cards)

Which of the following lists ALL the equations that are linear?

Front

y = x - 2 y = -3x - 5 y = x y = -1/3 x - 5/3

Back

What is the degree of the monomial 3x²y³?

Front

5 To find the degree of a monomial, add the number of variables in the monomial. The monomial 3(x²)(y³) can be written: 3xxyy*y. There are five variables, so the degree of the term 3(x²)(y³) is five.

Back

Which of the equations, when graphed, will contain the ordered pair (1,1)?

Front

y = x y = x² y = -2x² + 3

Back

The Booster Club at Martin MS is selling spirit buttons for homecoming. The buttons cost $0.75 to make and will be sold for $2 each. How many buttons, b, must be sold to make a profit of $500?

Front

$500 = $2b - $0.75b - The profit is equal to the selling price minus whatever costs are applicable. So, if the profit is to be $500, then enough buttons must be sold to reach that profit. If we are selling the buttons for $2 each, but it costs $0.75 to make each one, then there is a profit of $2 - .75 or $1.25 on each button. How many buttons will we have to sell to reach $500 profit: $500 = $1.25b. This is: $500 = $2b - 0.75 c = 1.25b. So, the Booster Club will have to sell 400 buttons.

Back

Which of the following equations is written in slope-intercept form?

Front

y = 3x + 5

Back

A student walks into class and tells the teacher that a local candy store had a "buy one candy bar, get one candy bar free" promotion this weekend. The teacher asks the student how many candy bars she purchased, but the student was only able to remember how many candy bars she received. The teacher uses this opportunity to create a word problem for the class. She asks the class to create an equation that would help the student find out how many candy bars a person would receive (r) if for any candy bar they purchased (p), they received one candy bar for free. One student, Sally, says the equation would be 2p + 1 = r. Which of the following activities would best help Sally recognize the error in her answer?

Front

Create a function table

Back

A model of an equation is above. What is the value of M?

Front

M = 3.

Back

Which of the following equations correctly models the relationship in the table?

Front

y = 3x - 5

Back

Simplify: 14 - 2 × 5

Front

4

Back

Simplify: 10 - 3 + 4

Front

11

Back

Maria baked 6 dozen cookies for her classmates. There are 28 students in her class, each child received 2 cookies and Maria gave 6 cookies each to her teacher and her principal. Which equation could be used to find C, the number of cookies she had left over?

Front

C = 6 • 12 - (2 • 28 + 2 • 6) 6 • 12 gives us the total number of cookies in 6 dozen: 72 cookies. Then if each child receives 2 and there are 28 children, 2 • 28 = 56; if the teacher and the principal each receive 6, that is another 12. So, we have 72 - 56 - 12 = 4. Maria will have 4 cookies left.

Back

A small company employs 19 hourly wage workers. The hourly wage range is from $10 to $25 per hour. If three workers earn the median wage of $13.50 per hour, how many workers earn more than $13.50 per hour?

Front

8 Median is the number that is halfway into a number set. This means that if 3 workers earn the median wage, then the remaining 16 workers are split, with half of the workers earning more than $13.50 an hour and the other half earning less than $13.50 an hour. 8 of the 19 workers earn more than the median wage, if 3 workers earn the median wage.

Back

Mrs. Fields' science class takes care of a plant at school. The class is responsible for watering the plant and measuring its growth. The students' measurements are charted in the attached table. Which of the following equations relates the height of the plant, h, and the number of months, m, assuming a constant rate of growth?

Front

5m + 3 = h

Back

Jana is playing a game called Guess My Rule. Her friends choose a number (input), Jana subtracts 3 and tells her friends the result (output). The game continues until one of her friends can predict what their output number will be and can correctly state Jana's rule. Which graph correctly shows possible values of input/output for Jana's rule?

Front

B

Back

Which of the following word problems is the correct question to be written and solved with the given equation? 8 - 5 + 3 = 6

Front

8 birds were sitting on a fence. 5 birds flew away and 3 more birds landed on the fence. How many birds are on the fence now?

Back

Simplify: 100 ÷ 4 × 5

Front

125

Back

Which of the following lists all the factors of a composite number?

Front

1, 5, 25

Back

A pancake recipe requires 1 tablespoon of baking powder per 2 cups of flour. If 2 cups of flour make 4 pancakes, how many tablespoons of baking powder are needed to make 12 pancakes?

Front

3 1 tablespoon of baking powder per 2 cups of flour makes 4 pancakes -> 1 tablespoon of baking powder is used to make 4 pancakes. To make 12 pancakes, 3 tablespoons of baking powder are needed. To find this, divide 12 by 4 to the proportional increase in pancakes. 12 / 4 = 3 -> because the number of pancakes is 3 times as many as the recipe size of 4; multiply 1 tablespoon by 3 to get 3 tablespoons of baking powder.

Back

In Anytown ISD, 13 out of every 20 students ride the bus. Which ratio compares the number or students who ride the bus to those who do not?

Front

13:7

Back

A baseball mitt is on sale for 30% off. If the regular price is $78, what is the sale price, excluding tax?

Front

$54.60 - You can simply take 30% of $78 (0.3 • 78 = 23.4 or $23.40) and find out how much you will save, then subtract the savings from the original price: $78 - 23.40 = $54.60. Or, you can also obtain the answer by: 100% - 30% = 70% and 0.70 • 78 = $54.60.

Back

If 15 ml is equivalent to ½ oz., which equation could be used to find x, the number of ml in 1 cup?

Front

x = 15 • 8 ÷ ½ There are 8 oz. in one cup, but the problem references ½ oz. So, how many ½ ounces are in 8 oz.? 8 ÷ ½ = 16. If each ½ ounce is equivalent to 15 ml, then 15 • 16 would give us the number of ml in 8 ounces or 1 cup = 240 ml. x = 15 • 8 ÷ ½ = 120 ÷ ½ = 240 ml.

Back

The state sales tax is 7.5%. Which number could also represent 7.5%?

Front

3/40

Back

In the expression 3x² + 6x +3, how many terms are in the equation?

Front

3

Back

If the pattern above is continued, how many blocks will be in the 7th term?

Front

36

Back

Which of the above graphs best represents the equation y = x²?

Front

C

Back

What equation describes the linear relationship shown in the above table?

Front

y = 3x + 1

Back

A heat wave began at 6:10 a.m. on a Tuesday morning. The temperatures were recorded by Mr. Davis' class. Mr. Davis asked his students to create an equation that represented the rise in temperature and would use x to represent the hours.

Front

y = 3x + 70 The temperature starts at 70 degrees and increases 3 degrees every hour. This is found by dividing the increase in temperature over the hours the temperature is recorded. The equation is created by the number of hours after 6 (represented by x), the increase per hour (3) and 70 as the starting temperature. y = 3x + 70.

Back

Simplify: 15 - 3(8 - 6)²

Front

3

Back

Which of the following correctly combines like terms for the following equation? 3x - 4 + 6x + 5 - 4x - 2 = 16

Front

5x - 1 = 16

Back

Which of the following is equivalent to the inequality? 5 > x -1

Front

x < 6 To simplify the expression 5 > x -1, add +1 to both sides of the equation: 5 + 1 > x -1 + 1 = 6 > x.

Back

Mr. Harris wants to divide a long string of gummy candy into pieces for his class. He folds the gummy candy in half and makes one cut along the end of the folded string so that he now has three pieces. He asks his students to create an equation so he can find out how many cuts he should make in the candy to have enough for all the students. Which of the following equations represents the data in the table attached?

Front

y = 2x + 1

Back

Which expression best represents y in terms of x?

Front

y = 1 - 2x

Back

The ratio of Antone's height to arm span is the same as the ratio of his brother's height to arm span. About how tall is Antone?

Front

39" The correct choice, 39", is found by solving the proportion: (56/60) = (36/x). In this proportion, x is Antone's height. In the first ratio, 56 is Antone's brother's arm span and 60 is his height. In the second ratio, 36 is Antone's arm span, and x, his height. Proportions are solved by cross multiplying. When cross multiplication is performed on this proportion, we get: 56 x = 60 36. When simplified, we get: 56x = 2160; then you divide each side by 56 resulting in x = 2160/56 = 38.57, but because the question says "about", you would use 38.57 39".

Back

The graph above is a representation of the following situation: Marty purchased a car for $24,000; this included all interest, tax, and title fees. She made payments of $500 per month for 48 months until the car was paid off. What ordered pair would best represent point A at the top of the graph?

Front

(0,24000) The point A, (0,24000), indicates that at the time "0" - or at the beginning of the loan - the amount owed was $24,000. In this situation, the x-axis (horizontal) represents the time in months and the y-axis (vertical) represents the amount of the loan. In the equation y = 24000 - 500x, the - 500 is the $500 paid (subtracted) each month on the loan. As you look at the graph moving from left to right, the line goes "downhill"; this graph represents a linear decrease. The point represented by B on the x-axis would be the point (48,0). This means that after the 48th month, the amount remaining on the loan was $0.

Back

Mrs. McCoy writes two equations on the board for her class. +5 - 5 = 0 -20 + 20 = 0 Which of the following properties of integers is Mrs. McCoy most likely trying to illustrate?

Front

The additive inverse property

Back

Which of these equations does NOT pass through quadrants III or IV?

Front

y = x²

Back

In the expression 3x² + 6x +3, what is the degree of 3x²?

Front

2 To find the degree of a monomial [(3x²) is a monomial - simply a single term in an equation], add the number of variables in the monomial. The monomial 3x² can be written: 3xx. There are two variables, so the degree of the term 3x² is two.

Back

A teacher draws the grid above on the board without any "X"s in the grid. The teacher then writes the "X"s in the grid. The teacher asks the students to create an equation to represent the grid if the "X"s represent the blocks that have been removed from the grid. Which of the following is the best equation in response to the teacher's question?

Front

80 - 15

Back

A school fundraiser is selling candy bars to raise money for a new gymnasium. If Billy sells a total of $650 worth of candy bars for $x per candy bar, which equation would be used to find out how many candy bars Billy sold?

Front

650 / x

Back

Simplify: 200 - 3(6 - 2)³ + 10

Front

18

Back

Simplify: 3 + 12 ÷ 3

Front

7

Back

Larry started the following number pattern: 900, 888, 876, 864, ... Which number could not be a part of Larry's pattern?

Front

736

Back

Which situation could best be represented by the equation: 12x = 54?

Front

Marty made car payments on her car for 54 months until it was paid off. What is x, the number of years it took Marty to pay off her car?

Back

Mr. Andrews is in a city whose street grid can be represented by a coordinate plane. Mr. Andrews wants to walk from his current location at a local barbershop, represented on the coordinate plane as (1, 2), to his apartment. Mr. Andrews walks 5 blocks east, or to the right, and 1 block south, or down. Which of the following ordered pairs correctly depicts the location of Mr. Andrews' apartment?

Front

(6, 1)

Back

What is the degree of the monomial 66?

Front

0 To find the degree of a monomial, simply add the number of variables in the monomial. The monomial 66 has no variable, so the degree of the monomial is 0.

Back

How many terms are in the equation 4x - 4 = 6 * 9?

Front

4 A term is either a single number, a variable, or numbers and variables multiplied together. The equation 4x - 4 = 6 9 has four terms: 4x, 4, 6, and 9. The terms 6 9 are counted as two separate terms because they are not combined with a variable; terms that multiply a variable AND a number are counted as one term.

Back