Free Printable Vocabulary Worksheet

1.

Which expression is equivalent to $\sqrt{36x^6z^2}$ when $x > 0$ , and $z > 0$ ?

a)

$6x^4$

b)

$6x^3z$

c)

$18x^4$

d)

$18x^3z$

2.

Consider the exponential function graphed on the coordinate plane. Based on the graph, which inequality represents the most appropriate domain of the exponential function?

a)

x ≤ -2

b)

x ≥ -2

c)

x ≤ 4

d)

x ≥ 4

3.

In order to solve the equation $\frac{1}{2}x + 5 = -\frac{3}{2}x + 1$ , a student graphs the equations $y = \frac{1}{2}x + 5$ and $y = -\frac{3}{2}x + 1$ correctly, as shown. What is (are) the solution(s) to the equation $\frac{1}{2}x + 5 = -\frac{3}{2}x + 1$ ?

a)

A) $x = -2$ and $x = 4$ only

b)

B) $x = -2$ only

c)

C) $x = 1$ and $x = -4$ only

d)

D) $x = 0$ only

4.

If $x^1 \cdot x^1 \cdot x^1 \cdot x^1$ is equivalent to $x^4$ because $1 + 1 + 1 + 1 = 4$ , which expression is equivalent to $x^1$ ?

a)

A) $x^{1/2} \cdot x^{1/2} \cdot x^{1/2} \cdot x^{1/2}$

b)

B) $x^{1/4} \cdot x^{1/4} \cdot x^{1/4} \cdot x^{1/4}$

c)

C) $x^{-1/4} \cdot x^{-1/4} \cdot x^{-1/4} \cdot x^{-1/4}$

d)

D) $x^{-1/2} \cdot x^{-1/2} \cdot x^{-1/2} \cdot x^{-1/2}$

5.

The graph represents a model of the population of rabbits over a 3-month period, in weeks. Which units best represent the rate of change in the graph?

a)

months/rabbit

b)

rabbits/month

c)

rabbits/week

d)

weeks/rabbit

6.

A baseball player learns to hit baseballs after being thrown such that the baseballs go beyond the boundaries of the baseball field, resulting in a home run. Which is least likely to affect the baseball player’s ability to hit a home run?

a)

the force of the baseball bat hitting the ball

b)

the number of seats in the baseball stadium

c)

the speed of the baseball after being thrown

d)

the speed of the baseball after being hit

7.

A mechanic charges customers a base fee in addition to an hourly rate to repair cars. The base fee and hourly rate differ depending on the type of car repair needed. The table shows the different repair types and costs.

Which function represents the total cost, E(h), in dollars, the mechanic charges for an engine check that takes h hours to complete?

a)

E(h) = 5h + 15

b)

E(h) = 10h

c)

E(h) = 15h + 5

d)

E(h) = 20h

8.

A student volunteers to complete 𝟏𝟐𝟎 hours of community service at a local hospital.

• The student completes 𝟓𝟎 hours of community service over summer break.

• The function 𝒗(𝒙) = 𝟏𝟐𝟎 − (𝟏𝟎𝒙 + 𝟓𝟎) represents the number of community service hours the student has left to complete after 𝒙 months since the beginning of the school year, where 𝒙 ≤ 𝟕.

What is the value of v(3)?

a)

A. 40

b)

B. 60

c)

C. 80

d)

D. 90

9.

Consider the graph of the linear equation. Which statement is true?

a)

A. The point (-8, -10) is a solution to the linear equation.

b)

B. The point (-3, 0) is a solution to the linear equation.

c)

C. The point (0, 6) is a solution to the linear equation.

d)

D. The point (8, 1) is a solution to the linear equation.

10.

A vintage car costs $𝟑𝟐, 𝟎𝟎𝟎 when purchased. The car increases in value by approximately 𝟕% at the end of each year, 𝒙, after it is purchased. Which inequality can be used to find the years the car is worth more than $𝟕𝟓, 𝟎𝟎𝟎?

a)

32,000(0.07)^𝑥 < 75,000

b)

32,000(0.07)^𝑥 > 75,000

c)

32,000(1.07)^𝑥 < 75,000

d)

32,000(1.07)^𝑥 > 75,000

11.

The table displays the length, in inches, of the first elastic cord, which stretches as a weight of 𝒙 ounces is added to the end of the cord, which can be represented by the function 𝒇(𝒙) = ⅕ 𝒙 + 𝟑𝟓, when 𝒙 ≥ 𝟎.

How many inches does the first elastic cord stretch with each ounce of weight that is added?

a)

0.2 inch

b)

0.5 inch

c)

1 inch

d)

5 inches

12.

If the function g(x) = 0.3x + 30 represents the length, in inches, of the second elastic cord, which stretches when a weight of x ounces is added to the end of the cord and when x ≥ 0, what does the value 30 represent in the function?

a)

the slope and the change in the length of the cord as x increases by 1

b)

the slope and the initial length of the cord when x = 0

c)

the y-intercept and the change in the length of the cord as x increases by 1

d)

the y-intercept and the initial length of the cord when x = 0

13.

A vintage piano valued at $25,000 increases in value by 5% each year from the time it is appraised. If x represents the amount of time, in years, since the piano was appraised, and y represents the value of the piano, in thousands of dollars, which graph best represents the scenario?

a)

A

b)

B

c)

C

d)

D

14.

A company uses more than 13 rooms of a convention center to seat teachers for a conference. If each room can hold 115 teachers, which inequality could be used to determine the minimum number of teachers, x, the company seats for the conference?

a)

$\frac{x}{115} < 13$

b)

$\frac{x}{115} > 13$

c)

$115x < 13$

d)

$115x > 13$

15.

Consider the two linear functions. What is the distance between the y-intercepts of the functions?

a)

-5 units

b)

-1 unit

c)

1 unit

d)

5 units

16.

Which expression is equivalent to $y^2 + 18y + 81$ ?

a)

$(y + 9)^2$

b)

(y - 9)(y + 9)

c)

$(y - 9)^2$

d)

(y - 9)(y - 9)

17.

The function r(t) = $165(1.25)^t$ represents the value of a trading card, in dollars, t years since the trading card was initially appraised. What is the value, to the nearest dollar, of the trading card 8 years since the appraisal?

a)

$2,310

b)

$1,650

c)

$990

d)

$983

18.

A map shows a scale, in centimeters, used to help determine actual distance, in miles, between objects. Which could be a measurement that appears on the scale as an exact value?

a)

1.2 centimeters

b)

1.7 centimeters

c)

2.5 centimeters

d)

2.8 centimeters

19.

Two friends have a total of 6 lemons to use for making cups of lemonade. The juice from 1 lemon produces no more than 2 cups of lemonade. If x represents the number of lemons the friends use, and y represents the cups of lemonade the friends produce, for which graph does the shaded region represent the solution set for the scenario?

a)

A

b)

B

c)

C

d)

D

20.

Consider the table of values for the function 𝒇(𝒙). For which value of g would f(x) remain a function?

a)

-3

b)

-1

c)

1

d)

4

21.

Which statement is true?

a)

A. $49^{1/2}$ = $\sqrt{49}$ because ( $49^{1/2}$ )^{1/2} = 49, and ( $\sqrt{49}$ )^{1/2} = 49.

b)

B. $49^{1/2}$ = $\sqrt{49}$ because ( $49^{1/2}$ )^2 = 49, and ( $\sqrt{49}$ )^2 = 49.

c)

C. $49^{1/2}$ = 24.5 because 49 \cdot $\frac{1}{2}$ = 24.5.

d)

D. $49^{1/2}$ = 98 because 49 \div $\frac{1}{2}$ = 98.

22.

Which value of x makes the equation 4x + 2(x - 8) = 14 - 5(2 - x) true?

a)

-20

b)

-12

c)

12

d)

20

23.

Which function best represents a linear model for the data in the scatter plot?

a)

y = -0.8x + 8.9

b)

y = -0.8 + 8.9x

c)

y = 0.8 + 8.9x

d)

y = 0.8x + 8.9

24.

In a single week, a landscaper charges $40 per lawn for lawn maintenance and spends$ 75 on gas for a lawn mower. Which equation represents the total amount, in dollars, the landscaper earns, y, per week when providing lawn maintenance for x lawns?

a)

y = 40x - 75

b)

y = 40x + 75

c)

y = 75x - 40

d)

y = 75x + 40

25.

What is the solution to the inequality 12 - 2(3x - 3) > 3(x + 1) - 4x?

a)

x < -3

b)

x < -1/3

c)

x < 1/3

d)

x < 3

26.

Consider the graph of the exponential function. Which statement is true?

a)

A. The x-intercept of the function is located at (-2, 0).

b)

B. The x-intercept of the function is located at (0, -2).

c)

C. The y-intercept of the function is located at (-2, 0).

d)

D. The y-intercept of the function is located at (0, -2).

27.

What is the average rate of change on the interval from x = 1.5 to x = 3?

a)

$0.75 per pound

b)

$1.50 per pound

c)

$2.25 per pound

d)

$3.38 per pound

28.

The expression 234,000(1.26)^x models the value of a house, where x is the number of years since the house was purchased. What does the value 1.26 represent?

a)

the cost of repairs on the house

b)

the factor by which the value of the house increases each year

c)

the value of the house in ten years

d)

the value of the house when it was purchased

29.

What is the value of x in the equation $2x^2 + 44x + 242 = 0$ ?

a)

-11

b)

-2

c)

11

d)

22

30.

Which expression represents the perimeter of the parallelogram?

a)

(4x + 2) units

b)

(6x + 4) units

c)

(8x + 6) units

d)

(12x + 8) units

31.

Use the information given to answer questions 30-31. Consider the parallelogram, where the bases of the parallelogram are each (4x + 3) units, the sides are each (2x + 1) units, and x > 0. The area of a parallelogram can be found by multiplying the length of the base by the height. If the height of the parallelogram is approximated by the expression (x + 1) units, which expression represents the approximate area of the parallelogram?

a)

$4x^2 + 7x + 3$ square units

b)

(4x^2 + 3) square units

c)

$2x^2 + 3x + 1$ square units

d)

(2x^2 + 1) square units

32.

Consider the graph of the functions f(x) and g(x), which model the value of two different savings accounts, in dollars, over time, in years. If f(x) is exponential, and g(x) is linear, which statement is true?

a)

A. f(30) = g(30)

b)

B. f(30) < g(30)

c)

C. f(30) > g(30)

d)

D. The values of the functions cannot be compared.

33.

Consider the quadratic equation. y = (x - 7)(x + 4) Which statement is true?

a)

A. The point (-28, 0) lies on the graph of the quadratic equation.

b)

B. The point (-7, 4) lies on the graph of the quadratic equation.

c)

C. The point (0, -4) lies on the graph of the quadratic equation.

d)

D. The point (7, 0) lies on the graph of the quadratic equation.

34.

Which function, f(n), models the situation, where n represents an integer greater than 0?

a)

$f(n) = 16(0.25)^n$

b)

$f(n) = 16(0.75)^n$

c)

$f(n) = 16(1.25)^n$

d)

$f(n) = 16(1.75)^n$

35.

For which student does the description correctly represent the transformation given in the table?

a)

Student 1

b)

Student 2

c)

Student 3

d)

Student 4

Vocabulary Worksheet

Total questions: 35

Worksheet time: 18mins

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