Free Printable Chapter 4 Study Guide

1.

Which number is RATIONAL?

a)

$\pi$

b)

$\sqrt{2}$

c)

$\sqrt{25}$

d)

$\sqrt{3}$

2.

What is the value of x when -3x + 7x =-12

a)

$-3$

b)

$-\frac{6}{5}$

c)

$3$

d)

$\frac{4}{7}$

3.

$\left\{\left(3,2\right),\left(6,2\right),\left(7,3\right),\left(8,4\right)\right\}$

What is the range of the function below?

a)

$\left\{2,3,4\right\}$

b)

$\left\{7,3,8,4\right\}$

c)

$\left\{3,-6,7,8\right\}$

d)

$\left\{3,2,-6,2\right\}$

4.

What is the solution to this system of equations?

2y=4

-x=-3

a)

$\left(2,3\right)$

b)

$\left(-3,2\right)$

c)

$\left(3,2\right)$

d)

$\left(-3,4\right)$

5.

What is the solution to the system of equations?

x=y+4

2x-3y=-2

a)

$\left(6,10\right)$

b)

$\left(9,5\right)$

c)

$\left(10,6\right)$

d)

$\left(14,10\right)$

6.

Which set of points lies on the graph of the function?

a)

{(0,0), (1,1), and (2,2)}

b)

{(1,1), (1,2), and (2,3)}

c)

{(0,0), (-1,1), and (1,2)}

d)

{(0,0), (-1,1), and (1,-1)}

7.

Given $F=\frac{9}{5}C\ +32$ , the conversion formula for Fahrenheit to Celsius, solve for C.

a)

$C=\frac{5}{9}\left(F-32\right)$

b)

$C=\frac{9}{5}\left(F-32\right)$

c)

$C=\frac{9}{5}\cdot\frac{F}{32}$

d)

$C=\frac{5}{9}\cdot\frac{F}{32}$

8.

$5y^6$

Which portion of the expression is the coefficient?

a)

$5$

b)

$y$

c)

$6$

d)

$5y^6$

9.

The graph of the function is shown. f(3)=

a)

$-2$

b)

$0$

c)

$2$

d)

$5$

10.

Which graph models the equation below?
$3x+2y=6$

a)

b)

c)

d)

11.

A system of linear equations has been graphed in the diagram.

Determine a reasonable solution for the system of equations.

a)

(1,4)

b)

(1,-4)

c)

(-1,4)

d)

(-1,-4)

12.

$V=\frac{1}{3}\pi r^2h$

Solve for h.

a)

$h=\frac{3V}{\pi r^2}$

b)

$h=\frac{V}{3\pi r^2}$

c)

$h=r\sqrt{\frac{3V}{\pi}}$

d)

$h=V-\frac{1}{3}\pi r^2$

13.

Julia is five years older than her sister Babs. Their ages add up to 31. How old is Babs?

a)

10

b)

13

c)

16

d)

19

14.

Write y = 2x + 3 using function notation.

a)

x = 2y + 3

b)

f(y) = 2x + 3

c)

f(x) = 2x + 3

d)

f(y) = 2y + 3

15.

$x+3y=7$
$x-3y=1$
Solve the systems of equations.

a)

$x=4,\ y=1$

b)

$x=1,\ y=4$

c)

$x=-\frac{2}{3},\ y=3$

d)

$x=3,\ y=-\frac{2}{3}$

16.

$5x-2y=3$
$-5x+4y=9$
Solve the systems of the equations.

a)

$\left(6,3\right)$

b)

$\left(6,\ 13\ \frac{1}{2}\right)$

c)

$\left(3,6\right)$

d)

$\left(1,0\right)$

17.

Of the four functions graphed, which shows the GREATEST rate of change?

a)

A

b)

B

c)

C

d)

D

18.

In the function y = 0.25x+3.5, y represents the cost of a gallon of milk after a certain number of years, x. How much does the cost of milk increase every year?

a)

$0.07

b)

$0.25

c)

$3.50

d)

$14.00

19.

$5x+3y=-2$
$3x+2y=-1$
Solve the system of equations.

a)

$\left(-1,1\right)$

b)

$\left(1,-1\right)$

c)

$\left(-1,-2\right)$

d)

$\left(\frac{1}{3},1\right)$

20.

$3x-y=4$
$x+2y=6$
What is the solution to the system of equations?

a)

(-2,-2)

b)

(2,-2)

c)

(2.5,1.75)

d)

(2,2)

21.

$g\left(x\right)=3x^3-4x^2+5$

Given g(x) find g(-2).

a)

-147

b)

-35

c)

-3

d)

13

22.

$\left(3x-4\right)\left(2x-3\right)$

Multiply the binomials.

a)

$-23x^2+12$

b)

$5x^2-14x-7$

c)

$6x^2-17x+12$

d)

$6x^2-14x+7$

23.

On analyzing a function, John finds that f(3) = 7. This means that the graph of f passes through the point

a)

(0,7)

b)

(3,0)

c)

(3,7)

d)

(7,3)

24.

Solve:

$3x-7-2x+5=6$

a)

$-8$

b)

$-\frac{18}{5}$

c)

$4$

d)

$8$

25.

Solve the system of equations.

$y=-2x+1$
$y=x-2$

a)

(-1,-1)

b)

(-1,1)

c)

(0,2)

d)

(1,-1)

26.

Find the solution.

$2x+y=3$
$x+y=3$

a)

(-1.5,0)

b)

(0,-1.5)

c)

(0,3)

d)

(3,0)

27.

Find f(-7) if f(x) = 3 - 2x.

a)

-24

b)

-11

c)

17

d)

23

28.

Use the graph as a reference. What is the solution for this system of equations?

a)

(0,0)

b)

(2,6)

c)

no solution

d)

infinite solutions

29.

Multiply and simplify.

$\left(5x-4y\right)^2$

a)

$25x^2+16y^2$

b)

$25x^2-40xy+16y^2$

c)

$25x^2-40xy25x^2-40xy+16y^216y^2$

d)

$25x^2-16y^2$

30.

Solve the system.
$0.2x+0.5y=4$
$-0.1x+0.3y=-2$

a)

(20,0)

b)

(-5,10)

c)

(-2,5)

d)

(50,10)

31.

$V=\frac{2\pi r}{T}$

Rearrange the formula for r.

a)

$r=\frac{\pi}{2TV}$

b)

$r=\frac{2\pi}{TV}$

c)

$r=\frac{2TV}{\pi}$

d)

$r=\frac{TV}{2\pi}$

32.

Multiply:

$\left(2x-3\right)\left(x^2+4x-3\right)$

a)

$2x^3+5x^2-18x+9$

b)

$2x^3+11x^2-18x+9$

c)

$2x^3-11x^2-18x+9$

d)

$2x^3+5x^2-6x-9$

33.

Which linear function represents the table.

a)

y = 2x - 5

b)

y = 2x + 5

c)

y = -2x + 5

d)

y = -2x - 5

34.

Simplify:

$\frac{35a^3b^3c^4}{14a^5b^2c^4}$

a)

$\frac{5b}{2a^2}$

b)

$\frac{5a^2b}{2}$

c)

$\frac{5a^2b}{2c}$

d)

$\frac{5a^{\frac{3}{5}}b^{\frac{3}{2}}}{2}$

35.

Which number is IRRATIONAL?

a)

$1$

b)

$125$

c)

$18\ \frac{2}{3}$

d)

$\sqrt{9.4}$

36.

The admission fee for a soccer game is $5 for adults and $3 for children. 2,600 people attended the game and $11,400 is collected in ticket sales. Which system of equations yields the cost of an adult ticket, a, and a child ticket, c?

a)

$a+c=2,600$
$a+b=11,400$

b)

$a+c=11,400$
$5a+3c=2,600$

c)

$a+c=2,600$
$5a+3c=11,400$

d)

$5a+3c=2,600$
$5a+3x=11,400$

37.

$-16p-2q=100$

$p-4q=200$

If (p,q) is the solution to the system of equations, what is the value of q?

a)

0

b)

-10

c)

-25

d)

-50

38.

An online data base charges $25 an hour during the day and $12.50 an hour at night. If a research company paid $250 for 12 hours of use, which system of equations could be used to determine the number of hours charged at the day rate (d) and at the night rate (n).

a)

$25d+n=250$
$d+n=12$

b)

$d-n=12$
$25d+12.50n=250$

c)

$d+n=12$
$25d+12.50n=250$

d)

$12d-12.50n=250$
$d+n=250$

39.

$6x+y=-9$

Identify the slope of the line for the equation.

a)

$-9$

b)

$6$

c)

$-6$

d)

$9$

40.

Bob bought 24 hockey tickets for $83. Adult tickets cost $5.50 and child tickets cost $2.00. How many child tickets did he buy?

a)

10

b)

14

c)

24

d)

2

Chapter 4 Study Guide

Total questions: 40

Worksheet time: 2hrs 0mins

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