College Entrance Exam

College Entrance Exam

memorize.aimemorize.ai (lvl 286)
Section 1

Preview this deck

Determine the x and y intercepts of the graph of 7x - 5y = 35

Front

Star 0%
Star 0%
Star 0%
Star 0%
Star 0%

0.0

0 reviews

5
0
4
0
3
0
2
0
1
0

Active users

0

All-time users

0

Favorites

0

Last updated

6 years ago

Date created

Mar 1, 2020

Cards (72)

Section 1

(50 cards)

Determine the x and y intercepts of the graph of 7x - 5y = 35

Front

(5, 0) and (0, ‐7)

Back

The sales tax rate in Wilson County is 6.75%. Suppose total price of an item that you bought in Wilson County including taxes is $14.93, what is the price (rounded to two decimal places) before tax?

Front

$13.99

Back

Solve: (x/4) - (⅝)=(⅜)

Front

x = 4

Back

Simplify 2x^2(-3x^2)^3

Front

-54x^8

Back

A large square pizza has 49 pieces (square slices). John, Jack and Jane ate all the pieces in the ratio 4:2:1 respectively. How many pieces did Jack eat?

Front

14

Back

Solve the m: F=(mv^2)/r

Front

m=(Fr)/v^2

Back

Simplify 20+4^3/(-8)

Front

12

Back

Solve: 6/(x - 5)= 4/x

Front

x = -10

Back

Simplify and express in the form a + bi: -4i / ( 1+i )

Front

-2 - 2i

Back

The inequality |x + 4| ≥ 1 is equivalent to

Front

x ≥ ‐3 or x ≤ ‐5

Back

Let f(x)= 2 - x^2 and g(x)= 2x-1. Which is false?

Front

(f + g)(0)=-2

Back

The sum of two numbers is 31. Twice the smaller number is 11 more than the larger number. The positive difference between the numbers is

Front

3

Back

Let f(x)= 2 - x^2 and g(x)= 2x-1. Which is true?

Front

(g o f)(0)= 3

Back

The temperature, in degrees Fahrenheit, over a twelve hour period is given by the function T(t) = ‐0.5t^2 + 6t + 30, where t = 0 denotes 6:00 a.m. When is the morning temperature 47.5o F?

Front

11:00 a.m

Back

Find the equation of the straight line passing through the points (2,‐4) and (1,0).

Front

y = ‐ 4x + 4

Back

Consider the quadratic function f(x)= 2x^2-4x+1. Find the vertex

Front

(-1,-1)

Back

Express in scientific notation: 0.0000056

Front

5.6 x 10^-6

Back

Firefighters use the formula S = 0.5P + 26 to compute the horizontal range S in feet of water from a particular hose, where P is the nozzle pressure in pounds. Find the horizontal range if pressure is 90 lb.

Front

71

Back

Solve: 2 |x-3| =5

Front

x = ½, 11/2

Back

Simplify ((2u^(-5)v^2)/8w)^(-2)

Front

16w^2u^10/v^4

Back

The interval solution to the inequality (x - 2)/(x + 1) > 0 is

Front

(-∞,-1)U(2,∞)

Back

A 36 foot long tube is cut into two pieces with ratio 4:5. Find the length of the shorter piece.

Front

16

Back

Evaluate the expression: 4a^2-4ab+b^2,when a = 2 and b = 5

Front

1

Back

Solve: 2x(10x + 8) = ‐3(x+1)

Front

x = -¾; -⅕

Back

John (J) is 5 years older than his sister Mary (M) who is 2 years younger than her brother Paul (P). If J, M and P denote their ages, which one of the following represents the given information?

Front

J= M+5, M= P - 2

Back

The profit, P, realized by a company varies directly as the number of products s it sells. If a company makes a profit of $7800 on the sale of 325 products, what is the profit when the company sells 5000 products?

Front

$120,000

Back

Simplify and express in the form a + bi: (‐2 + i)(3 + 2i)

Front

-8 - i

Back

Solve: (2x^3)^2 - 8=0

Front

x = (3 +/- 2(2^(½)))/2

Back

The inequality |8 - x| < 8 is equivalent to

Front

0 < x < 16

Back

Find the domain of the function f(x)= (x+3)/(x^2+1).

Front

all real numbers

Back

Simplify: (x^3 + x^2 y - 6xy^2)/(x^2 - 2xy)

Front

x + 3y

Back

The linear relationship between the Fahrenheit scale and Centigrade scale for temperatures is given by F = (9/5)C + 32 . Which of the following statements, if any, are TRUE? A. 68 o F corresponds to 20o C B. 40 o C corresponds to 78o F

Front

Only A

Back

Solve for V given r= (V/h)^(½)

Front

V= hr^2

Back

Solve: ⅔ + x/5 < 4/15

Front

x < -2

Back

Solve the system: {3x - 5y = -4; 3x - y=4}

Front

(2,2)

Back

John averaged 82 out of 100 on his first three tests. What was John's score on the fourth test if his average after the fourth test dropped to 79 out of 100?

Front

70

Back

Expand: 1.20 x 10^5

Front

120000

Back

Solve P: A = P + Prt

Front

P= A/(1+rt)

Back

Solve: 8(x-2)-5(x+4)=20+x

Front

x = 28

Back

Simplify (2a-4)+2(a-5)-3(a+1)

Front

a-17

Back

Solve: (1 - 2x )^(½)+1 = 3

Front

x= -3/2

Back

Let f (x)=3 - 2x. Find the difference quotient (f(x+h)-f(x))/h

Front

-2

Back

Consider the circle given by the equation (x - 2)2 + (y + 1) 2 = 5. Find the center and radius.

Front

(2,‐1); 5^(½)

Back

Solve: 3 - x/(x - 4) = 4/(4 - x);

Front

no solution

Back

Solve: -3(2x - 3) < 27

Front

x > -3

Back

Let f(x) = (1-2x)^(½). Find f(a-1)

Front

(3-2a)^(½)

Back

If the voltage, V, in an electric circuit is held constant, the current I, is inversely proportional to the resistance, R. If current is 120mA (milliampere) when resistance is 5 ohms, find the current when the resistance is 15 ohms.

Front

40

Back

Find the coordinates of a point A whose distance from the origin (0, 0) is 5 units.

Front

A(4, -3)

Back

Simplify: (4x^2 - 1)/ (2x^2 + 5x - 3)

Front

(2x + 1)/(x + 3)

Back

The long term parking rate at Raleigh‐Durham Airport is $2 per hour (or part of an hour) with $10 daily maximum (12:00 a.m. to 12:00 a.m.). Suppose you park your car on Friday afternoon at 8:30 p.m. and pick it up on the following Tuesday at 9:30 a.m., what will be you parking fee?

Front

$48

Back

Section 2

(22 cards)

2^3*2^5/2^4

Front

16

Back

cosθ tanθ =

Front

sinθ

Back

If cosθ = 3/5 and 0 < θ < 90° , then cos(90°-θ) equals

Front

4/5

Back

sin^2 (3x) + cos^2 (3x)

Front

1

Back

If (3/4) x = 12 - x, then x =

Front

48/7

Back

Find the equation of horizontal asymptote of the function f (x) = (x + 3)/(x^2 - 1)

Front

y=0

Back

5(a + b) + 2(a + c) - 4(b + c)

Front

7a + b - 2c

Back

One factor of 4x^2 - 8x + 4 is

Front

x -1

Back

If 3log x = log 8 , then x =

Front

2

Back

If cosx = 0.70 , then cos(-x) =

Front

0.70

Back

(2x - 3)^2

Front

4x2 - 12x + 9

Back

Subtracting n from 4 added to three times n is equal to

Front

2n + 4

Back

The graph of 3x + 4y = 24 crosses the y-axis at

Front

y = 6

Back

An equation of the circle with center (-2, k) and radius 5 is

Front

(x + 2)^2 + (y - k)^2 = 25

Back

Find all values of x for which (3x + 2)(4x - 5) = 0

Front

- 2/3 , 5/4

Back

One factor of 3x^2 + 6x + 3 is

Front

x + 1

Back

Find the inverse function for f(x)= (x/3) - 2

Front

3x+6

Back

120% of 360 is

Front

432

Back

(-2)^3 + (-3)^2

Front

1

Back

If sin A = 1/3 and 0° < A < 90° , cos A =

Front

(√8)/3

Back

tan 30°

Front

√3/2

Back

When you solve the equation x^3 - 3x^2 + 2x = 0 , how many roots are greater than 1/2 ?

Front

two roots

Back