Free Printable Algebra 1: Unit 4 Exam Review

1.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

2.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

3.

Find the slope:

a)

$\frac{3}{4}$

b)

$\frac{4}{3}$

c)

$\frac{1}{4}$

d)

$\frac{3}{1}$

4.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

5.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

6.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

7.

What is the slope formula?

a)

b)

c)

d)

8.

What is the Slope?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

9.

What is the Slope?

a)

Positive

b)

Negative

c)

Zero

d)

No Slope

10.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

11.

What is the standard form of $y=\frac{2}{3}x+4$ ?

a)

$3y+2x=12$

b)

$2x-3y=-12$

c)

$2x-3y=12$

d)

$2x+3y=-12$

12.

What is the standard form of $y=x-3$ ?

a)

$x+y=-3$

b)

$x-y=3$

c)

$x-y=-3$

d)

$x+y=3$

13.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=(1/4)x+3

d)

y= -4x+3

14.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

15.

Which of the following is written in standard form?

a)

-3x + 1.2y = - 5

b)

3x + 16 = 5y

c)

½x + ¾y = 21

d)

5x + 7y = -12

16.

What is the standard form of a linear equation?

a)

y = mx + b

b)

Ax + By = C

17.

What is the equation of the line?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

18.

Write an equation in Standard Form.
A store sells t-shirts for $12 each and sweatshirts for $15 each. You plan to spend $120 on t-shirts and sweatshirts.

a)

2x + 5y = 120

b)

12x + 15y = 120

c)

12 + 15y = 2x

d)

12x + 15 = 120

19.

Convert the equation to Slope-Intercept Form.

(Hint: Solve for y!)

a)

y = -3x + 1

b)

y = 3x + 1

c)

y = 1/3x + 1

d)

y = -1/3x - 1

20.

Convert the equation to Slope-Intercept Form.

(Hint: Solve for y!)

a)

y = -x - 4

b)

y = -5x - 4

c)

y = x - 4

d)

y = 5x + 4

21.

What is the value of the y-intercept in the function equation f(x) = -2x + 5?

a)

-2

b)

-10

c)

5

d)

$\frac{5}{2}$

e)

None of these.

22.

Select the slope-intercept form of the function equation that matches the graph.

a)

A) $f\left(x\right)=-\frac{5}{4}x-4$

b)

B) $f\left(x\right)=\frac{1}{4}x-4$

c)

C) $f\left(x\right)=-\frac{1}{4}x-4$

d)

D) $f\left(x\right)=\frac{5}{4}x-4$

23.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

24.

Find the x and y intercepts
4x - 5y = 40

a)

x intercept is 10

y intercept is 8

b)

x intercept is 4

y intercept is -5

c)

x intercept is -5

y intercept is 4

d)

x intercept is 10

y intercept is -8

e)

x intercept is -8

y intercept is 10

25.

What is the equation in slope-intercept form of the line that passes through the points (−26, −11) and (39, 34)?

a)

$y=-\frac{9}{13}x+7$

b)

$y=-\frac{9}{13}x-7$

c)

$y=\frac{9}{13}x+7$

d)

$y=\frac{9}{13}x-7$

26.

What is the equation in slope-intercept form of the line that passes through the points (-4, 2) and (12, 6)?

a)

$y\ =\ 0.25x+3$

b)

$y\ =\ 0.25x-4.5$

c)

$y=4x+18$

d)

$y=4x-42$

27.

The graph of a linear function is shown on the grid. Which equation is best represented by this graph?

a)

$y+7=-3\left(x-4\right)$

b)

$y+1=-3\left(x+2\right)$

c)

$y-4=3\left(x+7\right)$

d)

$y-2=3\left(x-1\right)$

28.

What are the equation and slope of the line shown on the grid?

a)

$y=6,\ slope\ is\ -\frac{1}{6}$

b)

$x=6,\ slope\ is\ zero$

c)

$y=6,\ slope\ is\ 6$

d)

$x=6\ slope\ is\ undefined$

29.

The table of values shows a linear relationship between x and y. What is the slope of the line represented by the table of values?

a)

$-\frac{8}{5}$

b)

$-\frac{5}{8}$

c)

$\frac{8}{5}$

d)

$\frac{5}{8}$

30.

What is the slope of the graph $y\ =\ 12x\ -\ 19$ ?

a)

$-19$

b)

$-\frac{12}{19}$

c)

$\frac{19}{12}$

d)

$12$

31.

The graph of linear function g passes through the points (-7, -4) and (7, 6), as shown. What are the slope and y-intercept of the graph of g?

a)

The slope is $\frac{5}{7}$ , and the y-intercept is -1.

b)

The slope is $\frac{5}{7}$ , and the y-intercept is 1.

c)

The slope is $\frac{7}{5}$ , and the y-intercept is -1.

d)

The slope is $\frac{7}{5}$ , and the y-intercept is 1.

32.

The linear function t has an x-intercept of -1 and a y-intercept of 5. Which graph best represents t?

a)

b)

c)

d)

33.

Write the equation that represents this word problem:

Marsha gets a job that pays $15 per hour, and she started the week with $20

a)

y= 15x + 20

b)

y= 20x + 15

c)

y= 15 + 20

d)

y= 20 + 15

e)

Answer Not Here

34.

Write the equation that represents this word problem:

Miles makes tacos at a restaurant. He has already made 8 tacos, and can make 3 tacos per minute.

a)

y= 8x + 3x

b)

y= 3x + 8

c)

y= 8x + 3

d)

y= 3 + 8

e)

Answer Not Here

35.

Write the equation that represents this word problem:

Nicholas received $100 for his birthday. He decides to spend $20 per day on whatever he wants.

a)

y= 20x + 100

b)

y= -20x - 100

c)

y= 20x - 100

d)

y= -20x + 100

e)

Answer Not Here

36.

An amusement park has an entrance fee, and then there is a cost to ride each ride. The total cost (y) can be modeled by y=1.5x+20 where x is the number of rides you ride. What does the y intercept represent?

a)

Number of rides

b)

The entrance fee

c)

The cost for food

d)

The cost per ride

37.

Jenny went to the sale at Kohl's last weekend.
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.

a)

20x + 15 = y

b)

35x = y

c)

15x + 20y = 150

d)

150 - 20x = 15y

38.

Write an linear equation to model the following:
You want to buy desserts, ice-cream is $2.50 per scoop and puppychow is $4 per bag and you want to spend $20.

a)

y=2.50x+4

b)

2.50x+4y=20

c)

y=4x+2.5

39.

Sam ordered 4 tacos and 5 enchiladas for lunch at the restaurant. His bill came to $10.80. Which equation matches the given situation?

a)

4x + 3y = 8.10

b)

4x + 5y = 10.80

c)

4x - 5y = 10.80

d)

4x + 10.80y = 5

40.

The booster club made $708 on homecoming T-shirt sells. Small t-shirts cost $12 while large t-shirts cost $14. If x is small t-shirts and y is large t-shirts, what equation represents this.

a)

12x + 14y = 708

b)

14x + 12y = 708

c)

708x + 14y = 12

d)

12x + 708y = 14

41.

What kind of correlation?

a)

Positive

b)

Negative

c)

No

42.

What kind of correlation?

a)

Positive

b)

Negative

c)

No

43.

What kind of correlation?

a)

Positive

b)

Negative

c)

No

44.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 1.2

b)

B) r = 0.89

c)

C)r = 0

d)

D) r = -0.89

45.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = -0.9

b)

B) r = 1

c)

C) r = 0.9

d)

D) r = -1

46.

Describe the relationship between the variables.

a)

A) Weak positive correlation

b)

B) Weak negative correlation

c)

C) Strong positive correlation

d)

D) Strong negative correlation

47.

r=-0.89

a)

Strong positive

b)

Weak positive

c)

Strong negative

d)

Weak negative

48.

r=0.3

a)

Strong positive

b)

Weak positive

c)

Strong negative

d)

Weak negative

49.

Determine the Correlation Coefficient and decide whether it is weak, moderate, or strong.

a)

0.07 weak

b)

-0.26 weak

c)

-0.26 moderate

d)

0.07 strong

50.

Which graph represents data that has a correlation coefficient close to -1?

a)

b)

c)

d)

51.

What type of correlation does this graph show?

a)

Positive correlation

b)

Negative correlation

c)

No correlation

d)

Constant correlation

52.

Is r = -0.87 strong, moderate, or weak?

a)

strong

b)

moderate

c)

weak

53.

The linear regression equation is y = 61.93x - 1.79. Use the equation to predict how far this person will travel after 10 hours of driving.

a)

10 miles

b)

617.5 miles

c)

0.19 miles

d)

500 miles

54.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

55.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

a)

12 chapters

b)

15 chapters

c)

18 chapters

d)

21 chapters

56.

Identify the common difference.
97, 86, 75, 64, ...

a)

8

b)

11

c)

-11

d)

-8

57.

Is the sequence arithmetic: 37, 31, 25, 19, ...

a)

Yes

b)

No

58.

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

a)

-1, 7, 15

b)

-5, 2, 9

c)

3, 12, 21

d)

-65, -73, -81

59.

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

a)

-16, -21, -26, -31

b)

5, -11, -27, -43

c)

-16, -80, -500, -200

d)

-16, -11, -6, -1

60.

Find the 22nd term of the following sequence:
5, 8, 11, ...

a)

14

b)

68

c)

63

d)

71

61.

What is the rule (explicit equation) for the n^th term given
60, 55, 50, 45, ...

a)

a_n= -5+60n

b)

a_n= -5n+55

c)

a_n= -5n+65

d)

a_n= 5n+55

62.

Define common difference.

a)

the product between two consecutive terms of a geometric sequence.

b)

the product between two consecutive terms of an arithmetic sequence.

c)

the difference between two consecutive terms of an arithmetic sequence.

d)

the difference between two consecutive terms of a geometric sequence.

63.

Using this explicit rule a_{n = 2n + 5, write the first four terms in the sequence.}

a)

7, 9, 11, 13

b)

5, 7, 9, 11

c)

7, 5, 3, 1

d)

5, 3, 1, −1

64.

In the recursive rule for the arithmetic sequence a_n = a_{(n − 1)} + d, the (n − 1) represent the ________________.

a)

next term

b)

current term

c)

previous term

d)

first term

65.

Find the first term of the given sequence:
a₁₄=68
d=3

a)

14

b)

20

c)

26

d)

29

66.

What is Mrs. Gordon's rate from 0 to 2 seconds?

a)

2.5 feet per second

b)

.4 feet per second

c)

5 feet per second

d)

.2 feet per second

67.

Calculate the average rate of change from 20 to 40 minutes.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

68.

Find the average rate of change over the given interval.

a)

4

b)

7

c)

7/3

d)

3/7

69.

What is the average rate of change of [1, 5]?

a)

-0.65

b)

-0.75

c)

3.75

d)

4

70.

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?

a)

200

b)

150

c)

300

d)

75

Algebra 1: Unit 4 Exam Review

Total questions: 70

Worksheet time: 3hrs 29mins

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