Free Printable Benchmark C Review Alg 1

1.

Which of the following is an example of an exponential function?

a)

$f\left(x\right)=\ 3x\ +\ 2$

b)

$f\left(x\right)=\ 2\left(3\right)^x$

c)

$f\left(x\right)=3x^2+2x\ +\ 2$

2.

A moving company packed some crates onto a dolly. Each crate has the same weight. The expression below represents the total weight, in pounds, of the dolly and c crates.

12c+45

Based on the expression, what is the weight, in pounds, of the dolly?

__________ lbs

3.

The value in dollars of a car is modeled by the expression $24,000\left(0.80\right)^x$

In the expression, x is the number of years since the car was purchased.

What do the factors in the expression represent?

a)

In the expression, 24,000 represents the decay factor, and 0.80 represents the growth factor.

b)

In the expression, 24,000 represents the growth factor and 0.86 represents the decay factor.

c)

In the expression, 24,000 represents the purchase price of the car, and 0.80 represents the decay factor.

d)

In the expression, 24,000 represents the purchase price of the car, and 0.80 represents the growth factor.

4.

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

a)

15h ≤ 105

b)

15h > 105

c)

15h < 105

d)

15h ≥ 105

5.

You must be no more than 62 inches tall to play on the playground. Which inequality represents the heights of kids allowed to play?

a)

k ≤ 62

b)

k > 62

c)

k < 62

d)

k ≥ 62

6.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

7.

Solve the equation:
- 2(x - 3) = 20

a)

- 7

b)

7

c)

14

d)

- 14

8.

Solve: 5x - 14 = 8x + 4

a)

6

b)

-6

c)

-18/13

d)

10/3

9.

What is the first step in solving
(x + 2)(x - 3) = 0 ?

a)

Plug in zero for x

b)

Solve for x

c)

FOIL

d)

Set each binomial factor equal to zero

10.

Solve the following quadratic equation: $x^2-13x-30=0$

a)

$x=3\ \ \ \&\ \ \ x=10$

b)

$x=-3\ \ \ \&\ \ \ x=-10$

c)

$x=-2\ \ \ \&\ \ \ x=15$

d)

$x=2\ \ \ \&\ \ \ x=-15$

11.

Solve using the Zero-Product Property.

(x + 4)(x − 3) = 0

a)

x = 4 and x = −3

b)

x = 2 and x = 1

c)

x = −4 and x = 3

d)

x = −2 and x = 1

12.

Factor.

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

13.

(3m + 1)(3m – 1)

a)

9m²– 1

b)

9m²– 6m – 1

c)

9m²+ 1

d)

9m²+ 6m – 1

14.

(x + 9)²

a)

x²+18x+81

b)

x²+81

c)

x²+18x

d)

x²+16x+81

15.

Factor: x² - 121

16.

Match the following quadratic with its factored form.

a)

x² - 81

1.

(x + 9)(x - 9)

b)

x² + 81

2.

Prime

c)

x² - 9

3.

(x + 3)(x - 3)

d)

x² - 6x + 9

4.

(x - 3)(x - 3)

17.

Solve the linear inequality.

-5x < 15

(Note: When dividing

by a negative,

'flip' the inequality symbol.)

a)

x > 3

b)

x < 3

c)

x > -3

d)

x < -3

18.

Graph the solution set of the inequality.

–4n + 1 > –23

a)

b)

c)

d)

19.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes, because I'll be dividing by a negative number

b)

No, because you never flip the sign.

20.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

21.

10 < 3x + 19

a)

x < 3

b)

x > 3

c)

x < -3

d)

x > -3

22.

The population of a town is modeled by this expression:

$24,000\left(1.03\right)^t$

In the expression, t is the number of years since the population was recorded.

What do the factors in the expression represent?

a)

In the expression, 24,500 represents the growth factor, and 1.03 represents the initial population.

b)

In the expression, 24,500 represents the initial population of the town, and 1.03 represents the growth factor.

c)

In the expression, 24,500 represents the population after t years, and 1.03 represents the decay factor.

d)

In the expression, 24,500 represents the decay factor, and 1.03 represents the initial population.

23.

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

a)

1s + 3c = 38
2s + 3c = 52

b)

3s + 1c = 38
3s + 2c = 52

c)

s + c = 38
s + c = 52

d)

3s + 3c = 38
1s + 2c = 52

24.

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.

a)

5q + 2z = 1.32
1z = 0.75

b)

5q + 2z = 1.32
3q + 1z = 0.75

c)

q + z = 1.32
q + z = 0.75

d)

5q + 2z = 0.75
3q + 1z = 1.32

25.

Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have? Which system best represents the situation?

a)

x + y = 1430

20x + 50y = 49

b)

x + y = 49

10x + 5y = 1430

c)

x + y = 49

20x + 50y = 1430

d)

x + y = 49

x + y = 1430

26.

A ________________ is a set of two or more equations that have the same variables.

a)

solution of a system

b)

elimination method

c)

system of equations

d)

table

27.

Give the solution to the system.

a)

(3,1)

b)

(1,3)

c)

(-1,3)

d)

(1, -3)

28.

Which of the following situations could be descried by the equation y= -25x + 120

a)

There are 120 people in the football stadium, and 25 more are entering each hour.

b)

A plumber charges $25 for a house call and $120 per hour.

c)

A teacher has 120 students. Her third period has 25 students

d)

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

29.

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

a)

y = 8x + 50

b)

C = 50m +8

c)

y = 50x + 8

d)

C = 8m + 50

30.

Gretchen decided to go hiking one afternoon. She parked her car and set out towards a cabin she had rented.

a)

Gretchen walked 12 miles for 4 hours.

b)

Gretchen walked 4 miles for 12 hours.

31.

You and your friend were comparing your bank accounts each month.

Which claim is best supported by the graph.

a)

At the start your friend's account had four times more money.

b)

At the start you both had the same amount of money.

c)

After one month your friend's account increased three times fast than yours.

d)

After one month, your account increased three times faster than your friend.

32.

Simplify the expression

(4x² - 6x - 8) + (3x² - 2x - 9)

a)

x² - 4x + 1

b)

7x² - 8x - 17

c)

12x² + 12x + 72

d)

7x⁴ - 8x² - 17

33.

Simplify the expression

(3x²- 4x + 2) + (2x² + 5x - 4)

a)

6x² - x - 8

b)

6x² - 20x - 2

c)

x² - 9x + 6

d)

5x² + x - 2

34.

Which of the following equations may not be used to model the graph shown?

a)

y = 2(x + 2)

b)

2x - y = -4

c)

y = -2x + 4

d)

y = 4 + 2x

35.

What is the increasing interval for the function below?

a)

$\left(-\infty,6\right)$

b)

$\left(-5,2\right)$

c)

$\left(-4,6\right)$

d)

Always

36.

What is the GCF in this expression?

24x + 30

a)

6

b)

10

c)

8

d)

4

37.

What is the GCF in this expression?

24x⁴ + 30x³

a)

6x³

b)

10x²

c)

8x

d)

4

38.

a)

A. 2x(9x - 6)

b)

B. 3x - 2

c)

C. 6(3x - 2)

d)

D. 6x(3x - 2)

39.

a)

A.

b)

B.

c)

C.

d)

D.

40.

Solve using square roots.

$x^2=81$

a)

±81

b)

±9

c)

±3

d)

No real solution

41.

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

a)

y = 8x + 50

b)

C = 50m +8

c)

y = 50x + 8

d)

C = 8m + 50

Benchmark C Review Alg 1

Total questions: 41

Worksheet time: 2hrs 6mins

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