Free Printable Benchmark #1 Review

1.

What is the domain of the function?

a)

{0, 4, 7, 8, 10}

b)

{1, 3, 5}

c)

{0, 1, 3, 4, 5, 7, 8, 10}

2.

What is the range of this function?

a)

{0, 4, 7, 8, 10}

b)

{1, 3, 5}

c)

{0, 1, 3, 4, 5, 7, 8, 10}

3.

What is the range of this graph?

a)

y ≥ 0

b)

x ≥ 0

c)

y ≤ 4

d)

y ≥ 2

4.

What is the domain of this graph?

a)

y ≥ 0

b)

x ≥ 4

c)

x ≤ 4

d)

x ≤ 0

5.

What is the rate of change of the table?

a)

-4

b)

21

c)

4

d)

-21

6.

What are x and y intercepts of this equation?

$3x-5y=30$

a)

x-intercept = 10

y-intercept = -6

b)

x-intercept = 10

y-intercept = 6

c)

x-intercept = -10

y-intercept = -6

d)

x-intercept = -10

y-intercept = 6

7.

What is the zero of this graph?

a)

-1

b)

-4

c)

4

d)

-2

8.

Which graph shows a function with a zero of -4 ?

a)

b)

c)

d)

9.

Inflatable water slides can be rented for $45 an hour. They can be rented for an 1 hour, 2 hours, 3 hours, 4 hours, or 5 hours. The cost in dollars to rent the water slides are a function of the number of hours the water slides are rented. What is the domain and range?

a)

Domain: {1, 2, 3, 4, 5)

Range: {45, 90, 135, 180, 225}

b)

Domain: {45, 90, 135, 180, 225}

Range: {1, 2, 3, 4, 5}

c)

Domain: all real numbers

Range: all real numbers

d)

Domain: all integers greater than or equal to zero

Range: all integers greater than or equal to zero

10.

What's the domain?

a)

0 ≤ x ≤ 12

b)

0 < x < 12

c)

0 ≤ y ≤ 12

d)

0 ≤ x ≤ 100

11.

What's the range?

a)

0 ≤ y ≤ 100

b)

0 < y < 100

c)

0 ≤ x ≤ 12

d)

0 ≤ y ≤ 12

12.

Which function best represents the relationship shown in the graph?

a)

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

b)

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

c)

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

d)

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

13.

The total cost, y, for x tickets to a concert includes a flat fee for processing and a cost per ticket. One customer purchased 2 tickets for a cost of $60. Another customer purchased 5 tickets for a total cost of $135. Which linear equation represents the total cost in dollars, y, for x tickets?

a)

y = 25x + 10

b)

y = 10x + 25

c)

y = 30x

d)

y = 27x

14.

The value of y varies directly with x. When the value of x is 8, the value of y is -32. What is the constant of variation when y is a function of x and what is the value of y when x = -12 ?

a)

constant of variation is -4

the value of y when x = -12 is 48

b)

constant of variation is

$-\frac{1}{4}$

the value of y when x = -12 is 48

c)

constant of variation is 4

the value of y when x = -12 is -48

d)

constant of variation is -4

the value of y when x = -12 is -48

15.

Which equation best represents the point-slope form of the line that passes through point K and is parallel to the line shown?

a)

$y-3=\frac{2}{5}\left(x-2\right)$

b)

$y-3=\frac{2}{5}\left(x+2\right)$

c)

$y-3=-\frac{5}{2}\left(x-2\right)$

16.

The graph of a line is represented by the equation 4x - 3y = 24 . Which value represents the rate of change of y with respect to x for the equation?

a)

$\frac{4}{3}$

b)

$-\frac{4}{3}$

c)

$\frac{3}{4}$

d)

$-\frac{3}{4}$

17.

What ordered pairs represent the x and y intercepts of the equation

5x + 2y = 10

a)

(2, 0) and (0, 5)

b)

(0, 2) and (5, 0)

c)

(2, 0) and (5, 0)

d)

(0, 2) and (0, 5)

18.

What value best represents the y-intercept of the line?

a)

-1

b)

4

c)

-4

d)

$\frac{1}{4}$

19.

The graph of $f\left(x\right)=x$ is transformed to create the graph of $g\left(x\right)=\frac{1}{2}f\left(x\right)+5$ . Complete the statement to compare the graphs of f and g. The graph of g is 1) _____________ the graph of f and has a y-intercept that is 2) ____________ that of f.

a)

1) less steep than

2) greater than

b)

1) less steep than

2) less than

c)

1) more steep than

2) greater than

d)

1) more steep than

2) less than

20.

Based on the correlation coefficient for the data, what type of linear association exists between hours worked and overall grade average?

a)

strong negative

b)

weak negative

c)

weak positive

d)

strong positive

21.

What value of k makes the equation $\frac{3}{4}\left(k-12\right)=\frac{1}{4}\left(k-48\right)$ true?

a)

-6

b)

-13.5

c)

6

d)

13.5

22.

What is the solution to the equation $5b-4\left(b-3\right)=12-9\left(b+3\right)$

a)

$-\frac{27}{10}$

b)

$-\frac{10}{27}$

c)

$\frac{93}{10}$

d)

$\frac{10}{93}$

23.

Which relation best represents y as a function of x?

a)

b)

c)

d)

24.

The first five terms of a sequence are $a_1=62,\ a_2=45,\ a_3=28,\ a_4=11,\ a_5=-6$ . Which equation finds the nth term of the sequence.

a)

$a_n=17n+79$

b)

$a_n=-17n+79$

c)

$a_n=79n+13$

d)

$a_n=17n-79$

25.

Line n is the graph and line p is the table. Which system of equations represents line n and line p ?

a)

3x - y = 2 and 2x + y = 4

b)

3x + y = -2 and 2x + y = 4

c)

3x - y = 2 and x + 2y = 4

26.

Which graph best represents the solution set of $x+2y\ge2$ ?

a)

b)

c)

27.

The function f(x) = -2x + 6 represents the first of two equations in a system of linear equations. The second equation in the system has a different slope than the first equation. Which statement is true about the solution to the system of equations?

a)

The system has no solutions

b)

The system has exactly just one solution

c)

The system has infinite solutions

28.

Which value best represents the number of hours the two hikers have been hiking when they are the same distance from the start of the trail?

a)

2.8 h

b)

1.3 h

c)

2.5 h

d)

4.5 h

29.

Which expression represents the perimeter of the triangle?

a)

$\frac{15}{2}x$

b)

$\frac{13}{2}x+\frac{4}{3}$

c)

$\frac{13}{2}x+1$

30.

Which expression is equivalent to $4\ \sqrt[]{63}$ ?

a)

$12\ \sqrt[]{7}$

b)

$7\ \sqrt[]{12}$

c)

$9\ \sqrt[]{15}$

d)

$15\ \sqrt[]{8}$

Benchmark #1 Review - 2025

Total questions: 30

Worksheet time: 2hrs 30mins

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