Free Printable Algebra 1 Mid Term Review

1.

Solve the inequality.
- 4( - 2 + x) > - 68

a)

x < -19

b)

x < 19

c)

x > -19

d)

x > 19

2.

What is the average rate of change of y = 2(3)^x at [2, 4]?

a)

72

b)

3

c)

36.8

d)

630

3.

Which of the following intervals has the largest average rate of change?

a)

[13,14]

b)

[13, 17]

c)

[16, 17]

d)

[16, 19]

4.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

5.

a)

(2.5+h)f

b)

g=1

c)

f(5+h)/2

d)

(5f+h) / 2

6.

Solve:
V = πr²h , for h

a)

V/(πr²) = h

b)

V - πr² = h

c)

V + πr² = h

d)

V/π = h

7.

a)

T = PV/K

b)

T = PK/V

c)

T=KV/P

d)

Greenland

8.

A holiday meal cost $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs(y), including delivery, for x people?

a)

y = 12.50 + 30x

b)

y = 30 + 12.50x

c)

y = 12.50 + 30

d)

12.50x = 30

9.

If I join the gym for a start up fee of $40 and monthly fee of $10, what is the domain? Equation: f(x)=40+10x

a)

-4, -3, -2, -1, 0.....

b)

$10, $20, $30, $40......

c)

0, 1, 2, 3.....

d)

1, 2, 3, and 4

10.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. The equation: C=2h+15. If Frank has $33 to spend, what is the domain of the situation?

a)

0 < x < 9

b)

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

c)

15, 17, 19, 21, 23, 25, 27, 29, 31, 33

d)

0 < y < 33

11.

James is creating a budget. He has exactly $20.25 to spend on gas each month. Gas is currently $2.25 a gallon. If the function f(x)=20-2.25x represents the amount of money he has left after buying x gallons of gas, what is the range?

a)

0 < y < 20.25

b)

0 < x < 9

c)

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

d)

0 < x < 20.25

12.

Which value of x makes the equation
4x - 10= -2(3x + 1) true?

a)

-0.8

b)

8

c)

0

d)

0.8

13.

Which value of x makes the equations
-3(g - 2)+ -2(5g - 3) =6

a)

no solution

b)

infinite many solutions

c)

1

d)

-1

14.

What is the DOMAIN?

a)

(-∞, ∞)

b)

(-2, ∞)

c)

[-2, ∞)

d)

(-∞, 0) U (0, ∞)

15.

What is the range?

a)

(-4,5]

b)

[-4,5)

c)

(-3,3)

d)

[-3,3]

16.

Find the domain of the relation

a)

(-5, 2)

b)

[-5, 2 ]

c)

[-3, 3]

d)

(-3, 3)

17.

What is the proper range?

a)

x≥0

b)

y≥0

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

18.

Solve the inequality:

a)

x ≤ 20

b)

x ≥ 20

c)

x ≤ -4

d)

x ≥ -4

19.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

20.

Solve:
-4x + 1 ≤ 21 and 5x + 2 < 22

a)

x > -5 or x ≤ 4

b)

x ≥ -5 or x < -4

c)

x > -5 and x ≤ 4

d)

x ≥ -5 and x < 4

21.

-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

22.

What does the slope mean in the context of the problem?

a)

The cost will increase by $1.40 per topping

b)

The cost will decrease by $1.40 per topping

c)

The cost will increase by $1.90 per topping

d)

The cost will decrease by $1.90 per topping

23.

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.

a)

The additional fee of $8.

b)

The initial fee of $25.

c)

The additional fee of $25.

d)

The initial fee of $8.

24.

What is the meaning of the slope?

a)

You will receive $4 per paper delivered.

b)

You will receive $5 per paper delivered

c)

You will receive $20 per paper delivered

d)

You will receive $20 for the day

25.

What is the meaning of the y-intercept?

a)

Colby's initial deposit was $100.

b)

Colby's initial deposit was $150

c)

Colby is adding $5 per week

d)

Colby is adding $10 per week

26.

What is the y-intercept?

a)

1/2

b)

2

c)

7

d)

3

27.

What is the y-intercept?

a)

65

b)

60

c)

70

d)

-5

28.

What is the slope?

a)

1/2

b)

2

c)

7

d)

3

29.

The LNHS Lions stadium seats about 2,000 people. The tickets sell for $6 each. The function f(x) = 6x represents the situation where x is the number of people in attendance and f(x) is the amount of money LNHS makes as revenue.

What is the domain of the situation?

a)

x is all real numbers

b)

0 < x < 2,000

c)

0 < x < 6 where x is all non-negative integers

d)

X is the set of all whole numbers < 2,000

30.

The LNHS Lions stadium seats about 2,000 people. The tickets sell for $6 each. The function f(x) = 6x represents the situation where x is the number of people in attendance and f(x) is the amount of money LNHS makes as revenue.

What is the range of the situation?

a)

0 < f(x) < 6

b)

0 < f(x) < 2,000

c)

0 < f(x) < 12,000

d)

2,000 < f(x) < 12,000

31.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. The equation: C=2h+15. If Frank has $33 to spend, what is the domain of the situation?

a)

0 < x < 9

b)

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

c)

15, 17, 19, 21, 23, 25, 27, 29, 31, 33

d)

0 < y < 33

32.

Macy was using the function f(x)=2x+3 to track the number of points she would could get on her final exam. But she only wanted to see the possible score she could get. She knew the maximum score was 100 and the minimum was 0. Which one of the following ranges would give her the possible scores she could get?

a)

$0<f\left(x\right)\le100$

b)

$0\le f\left(x\right)\le100$

c)

$f\left(x\right)<100$

d)

$f\left(x\right)\le100$

33.

Find the missing OUTPUT value.

a)

-2

b)

3

c)

9

d)

-7

34.

Find the missing OUTPUT value.

a)

-19

b)

17

c)

19

d)

17

35.

What value of $x$ makes this equation true?

4\left(1-4n\right)=-29-5n

a)

$n=3$

b)

$n=\frac{25}{11}$

c)

$n=-5$

d)

$n=16$

36.

What is the domain?

a)

-3 < y ≤ 3

b)

-4 ≤ y ≤ 5

c)

-4 ≤ x ≤ 5

d)

-3 < x ≤ 3

37.

What is the Domain of this linear function?

a)

-6 ≤ x ≤ 6

b)

0 ≤ x ≤ 7

c)

2 ≤ x ≤ 7

d)

No Solution

38.

What is the domain of the graph?

a)

[-7,5)

b)

(-7,5]

c)

[-3,1)

d)

(-3,1]

39.

What is the range?

a)

(-4,5]

b)

[-4,5)

c)

(-3,3)

d)

[-3,3]

40.

Who has the greater rate of change?

a)

CJ has a greater rate of change with 6.5

b)

Holland has a greater rate of change with 6

c)

CJ has a greater rate of change with 2/13

d)

They have the same rate of change.

41.

Who has the greater rate of change?

a)

Smith has the greater rate of change.

b)

Harmon has the greater rate of change.

c)

Macey has the greater rate of change.

d)

They have the same rate of change

42.

Who has the greater y-intercept?

a)

Tyler has the higher y-intercept.

b)

Aubri has the higher y-intercept.

c)

They have the same y-intercept

43.

Definition of a term.

a)

Parts of an expression separated by + and - signs

b)

The number multiplied times a product of variables or powers of variables in a term

c)

A term or expression with no variables

d)

The numbers or expressions that when multiplied produce a given product

44.

Write an expression to match the words:

the quotient of twenty and a number

a)

20 x n

b)

20 + n

c)

20 - n

d)

20 ÷ n

45.

Three times the difference of a number and 7

a)

3x - 7

b)

3(x - 7)

c)

3(x + 7)

d)

3(7) - y

46.

What is the variable in the following expression?

9z +12

a)

12

b)

9

c)

+

d)

z

47.

Name the coefficient in the following expression:

8y +10

(a)

48.

The owner of a small computer repair business has one employee, who is paid an hourly rate of $22. The owner writes an expression 8600 - 22x to represent his weekly profit. What does x represent in this expression?

a)

the number of hours the one employee worked per week.

b)

the number of days the one employee worked per week.

c)

the number of computers repaired per week.

d)

the number of customers served per week.

49.

Darweshi saved $250 for the beginning of summer. He spent $35 of his money each week.

The expression 250 - 35x can represent Darweshi’s money after summer started. In this expression, what does 250 represent?

a)

the amount of money he spent each week.

b)

the amount of money he started the summer with.

c)

the number of weeks into the summer.

d)

the total money after summer started.

50.

Taylor and Reese both like to play the video game Spyro the Dragon, and they collect gems for more points. Blue gems are worth 5 points and gold gems are worth 10 points. Taylor has collected b gems that are worth 5 points each and collected g gems that are worth 10 points each. Reese has collected a total of 60 gems. What does 5b + 10g represent?

a)

total number of gems Reese collected.

b)

total number of gems Taylor collected.

c)

total points Reese earned from gems.

d)

total points Taylor earned from gems.

51.

Matteus is purchasing a Walt Disney World Gold Pass because he goes to Disney World frequently. He is paying his Gold Pass over time, rather than all at once. The first month, Matteus must pay a $97.00 down payment. Matteus pays $51.83 each month after the first month. The total cost of the Walt Disney World Gold Pass can be represented by the expression 97.00 + 51.83(x - 1). What does (x - 1) represent?

a)

the monthly cost after the first month.

b)

the number of months after the first month.

c)

the cost of the down payment.

d)

the total number of months.

52.

Marguerite is taking her son to Target back-to-school shopping. She buys him a pair of pants for $17.50 and collared shirts for $5.00 each. Marguerite's total spending on her son's clothes at Target can be represented by the expression 5.00x + 17.50, where x is the number of shirts purchased. In this expression, what does the coefficient represent?

a)

the cost of each collared shirt.

b)

the cost of the pants.

c)

the number of shirts purchased.

d)

the total spending at Target.

53.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

54.

What inequality does the number line graph represent?

a)

2x +1 < -3

b)

x + 2 < 4

c)

-x + 3 > 1

d)

x + 4 >= 2

55.

What inequality does the number line graph represent?

a)

-x + 4 >= -1

b)

-2x + 3 > -7

c)

-x + 1 < -4

d)

2x + 3 >= 13

56.

Identify whether the given graph is discrete or continuous, and its' domain/range.

a)

Continuous

Domain: $1\le x\le6$
Range: $-1\le y\le6$

b)

Continuous

Domain:

-1\le x\le6

Range:

1\le y\le6

c)

Discrete

Domain: {-1, 0, 1, 2, 3, 6}
Range: {1, 2, 3, 4, 5, 6}

d)

Discrete

Domain: {1, 2, 3, 4, 5, 6}
Range: {-1, 0, 1, 2, 3, 6}

57.

What is the DOMAIN of this graph?

a)

-4 ≤ x ≤ 3

b)

-1 ≤ x ≤ 4

c)

4 < x < 3

d)

-1 < x < 4

58.

Write the equation that best matches the graph shown.

a)

y = 4x

b)

y = 4x - 3

c)

y = 4/3 x + 4

d)

y = 4/3 x - 3

59.

What is the equation of this line in slope-intercept form?

a)

y = 2x + 5

b)

y = -2x + 5

c)

y = -2x

d)

y = 5

60.

Select the graph for y > -2x - 3

a)

A

b)

B

c)

C

d)

D

61.

Which one matches the graph?

a)

2x - 5y < 10

b)

2x - 5y > 10

c)

2x - 5y ≥ 10

d)

2x - 5y ≤ 10

62.

Which one matches the graph?

a)

-2x + y = 4

b)

-2x + y ≥ 4

c)

-2x + y ≤ 4

d)

-2x + y < 4

63.

Which one matches the graph?

a)

x + y ≤ -2

b)

x + y ≥ -2

c)

x + y < -2

d)

x + y > -2

Algebra 1 Mid Term Review

Total questions: 63

Worksheet time: 3hrs 43mins

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