Free Printable PreAlgebra Math 7 Part 4

1.

Three-fifths of a number decreased by one is twenty-three. What is the number?

a)

40

b)

35

c)

50

d)

30

2.

Seven more than six times a number is negative forty-seven. What is the number?

a)

-9

b)

-8

c)

7

d)

6

3.

Nine less than twice a number is thirty-one. What is the number?

a)

20

b)

15

c)

10

d)

25

4.

Carol is sixty-six inches tall. This is twenty inches less than two times Mindy's height. How tall is Mindy?

a)

43 inches

b)

33 inches

c)

53 inches

d)

36 inches

5.

In February, Paul's electric bill was three dollars more than one-half his gas bill. If the electric bill was ninety-two dollars, what was the gas bill?

a)

178 dollars

b)

120 dollars

c)

150 dollars

d)

200 dollars

6.

One of two numbers is five more than the other. The sum of the numbers is 17. Find the numbers.

a)

6 and 11

b)

7 and 10

c)

8 and 9

d)

5 and 12

7.

The difference of two numbers is 19. The larger number is 3 more than twice the smaller. Find the numbers.

a)

(11, 30)

b)

(19, 38)

c)

(13, 32)

d)

(15, 34)

8.

320 tickets were sold to the school play. There were 3 times as many student tickets sold as adult tickets. Find the number of each.

a)

80 adult tickets and 240 student tickets

b)

100 adult tickets and 220 student tickets

c)

60 adult tickets and 260 student tickets

d)

120 adult tickets and 200 student tickets

9.

The first number is eight more than the second number. Three times the second number plus twice the first number is equal to 26. What are the numbers?

a)

2 and 10

b)

3 and 11

c)

4 and 12

d)

5 and 13

10.

Dan has five times as many $1 bills as$ 5 bills. He has a total of 48 bills. How many of each does he have?

a)

Dan has 40 $1 bills and 8 $5 bills.

b)

Dan has 30 $1 bills and 18 $5 bills.

c)

Dan has 25 $1 bills and 23 $5 bills.

d)

Dan has 20 $1 bills and 28 $5 bills.

11.

Twenty decreased by twice a number is ten less than three times the number. Find the number.

a)

5

b)

10

c)

15

d)

20

12.

Half of a number is 18 more than five times the number. Find the number.

a)

-36

b)

-18

c)

18

d)

36

13.

The length of a rectangle is 4 feet more than twice the width. Five times the width is the same as twice the length increased by 10 feet. What are the dimensions of the rectangle?

a)

Length = 12 ft, Width = 4 ft

b)

Length = 10 ft, Width = 3 ft

c)

Length = 14 ft, Width = 5 ft

d)

Length = 8 ft, Width = 2 ft

14.

Mike is 5 years older than David. Four times David's age increased by three years equals three times Mike's age decreased by two years. Find Mike's age.

a)

15 years

b)

17 years

c)

19 years

d)

21 years

15.

One board is one-third the length of another. Six times the sum of the length of the short board and -10 is equal to the length of the longer board decreased by 11 inches. What is the length of the longer board?

a)

33 inches

b)

36 inches

c)

45 inches

d)

54 inches

16.

Graph each inequality using a number line.
1. x > 1
Which of the following number lines correctly represents the solution to the inequality above?

a)

A number line with an open circle at 1 and shading to the right

b)

A number line with a closed circle at 1 and shading to the right

c)

A number line with an open circle at 1 and shading to the left

d)

A number line with a closed circle at 1 and shading to the left

17.

Which of the following shows the correct graph of the inequality a < -1 on a number line?

a)

A number line with an open circle at -1 and shading to the left

b)

A number line with a closed circle at -1 and shading to the left

c)

A number line with an open circle at -1 and shading to the right

d)

A number line with a closed circle at -1 and shading to the right

18.

Graph each inequality using a number line. Which of the following correctly represents y ≤ 2 on the number line: -5 -4 -3 -2 -1 0 1 2 3 4 5?

a)

Shade all numbers to the left of and including 2

b)

Shade all numbers to the right of and including 2

c)

Shade only the number 2

d)

Shade all numbers except 2

19.

Which of the following shows the correct way to graph b > -4 on a number line?

a)

An open circle at -4 with shading to the right

b)

A closed circle at -4 with shading to the right

c)

An open circle at -4 with shading to the left

d)

A closed circle at -4 with shading to the left

20.

Which number line correctly represents the inequality p ≥ 3?

a)

A number line with a closed circle at 3 and shading to the right

b)

A number line with an open circle at 3 and shading to the right

c)

A number line with a closed circle at 3 and shading to the left

d)

A number line with an open circle at 3 and shading to the left

21.

Which of the following correctly represents the graph of x < 1/2 on the number line: -5 -4 -3 -2 -1 0 1 2 3 4 5?

a)

An open circle at 1/2 with shading to the left

b)

A closed circle at 1/2 with shading to the left

c)

An open circle at 1/2 with shading to the right

d)

A closed circle at 1/2 with shading to the right

22.

Which number line correctly represents the inequality y > -1.5? Number line: -5 -4 -3 -2 -1 0 1 2 3 4 5

a)

A. Open circle at -1.5, shading to the right

b)

B. Closed circle at -1.5, shading to the right

c)

C. Open circle at -1.5, shading to the left

d)

D. Closed circle at -1.5, shading to the left

23.

Which number line correctly represents the inequality m ≤ 4 1/2?

a)

A number line with a closed circle at 4 1/2 and shading to the left

b)

A number line with an open circle at 4 1/2 and shading to the right

c)

A number line with a closed circle at 4 1/2 and shading to the right

d)

A number line with an open circle at 4 1/2 and shading to the left

24.

Solve the inequality and graph the solution on the number line: g + 8 > 6

a)

g > -2

b)

g > 2

c)

g < -2

d)

g < 2

25.

Solve the inequality and graph the solution on the number line: d - 7 > -3

a)

d > 4

b)

d < 4

c)

d > -10

d)

d < -10

26.

Solve the inequality and graph the solution on the number line: -3 > y + 1

a)

y < -4

b)

y > -2

c)

y < 2

d)

y > -4

27.

Solve the inequality and graph the solution on the number line: a - 3 ≤ 1

(a)

28.

Solve the inequality and graph the solution on the number line: -4 ≤ 1 + c

a)

c ≥ -5

b)

c ≤ -5

c)

c ≥ 5

d)

c ≤ 5

29.

Solve the inequality and graph the solution on the number line: x + 1/4 ≥ 1/2

(a)

30.

Solve the inequality and graph the solution on the number line: -2.4 < n - .6

(a)

31.

Solve the inequality and graph the solution on the number line: -20 + m ≤ -24

(a)

32.

Solve the inequality and graph the solution on the number line: 11x > 22

a)

x > 2

b)

x < 2

c)

x > -2

d)

x < -2

33.

Solve the inequality and graph the solution on the number line: -15m ≤ -75

a)

m ≥ 5

b)

m ≤ 5

c)

m > 5

d)

m < 5

34.

Solve the inequality and graph the solution on the number line: -1 > b/3

a)

b < -3

b)

b > -3

c)

b < 3

d)

b > 3

35.

Solve the inequality and graph the solution on the number line: 1.9x ≤ -7.6

a)

x ≤ -4

b)

x ≥ 4

c)

x ≥ -4

d)

x < 4

36.

Solve the inequality and graph the solution on the number line: (3/2)y < 6

a)

y < 4

b)

y > 4

c)

y < 3

d)

y > 3

37.

Solve the inequality and graph the solution on the number line: -26m ≥ 13

a)

m ≤ -0.5

b)

m ≥ -0.5

c)

m ≥ 0.5

d)

m ≤ 0.5

38.

Solve the inequality and graph the solution on the number line: -4 ≥ (2/3)x

a)

x ≤ -6

b)

x ≥ -6

c)

x ≤ 6

d)

x ≥ 6

39.

Solve the inequality and graph the solution on the number line: -2c < 2

a)

c > -1

b)

c < -1

c)

c > 1

d)

c < 1

40.

Solve the inequality and graph the solution on the number line. 1. 7x - 1 < 20 Number line: -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

a)

x < 3

b)

x > 3

c)

x < -3

d)

x > -3

41.

Solve the inequality and graph the solution on the number line. 2. -4 + 2z ≥ -8 Number line: -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

a)

z ≥ -2

b)

z ≤ -2

c)

z ≥ 2

d)

z ≤ 2

42.

Solve the inequality and graph the solution on the number line. 3. -6x - 9 ≥ -3 Number line: -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

a)

x ≤ -1

b)

x ≥ -1

c)

x ≥ 1

d)

x < -1

43.

Solve the inequality and graph the solution on the number line. 4(2b - 3) ≥ 36 Number line: -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

a)

b ≥ 6

b)

b ≤ 6

c)

b ≥ -6

d)

b ≤ -6

44.

Solve the inequality and graph the solution on the number line. 5. 7 < 5x - 8 Number line: -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

a)

x > 3

b)

x < 3

c)

x > -3

d)

x < -3

45.

Solve the inequality and graph the solution on the number line. 6. -17 > -7x - 45 Number line: -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

a)

x > -4

b)

x < -4

c)

x > 4

d)

x < 4

46.

Solve the inequality and graph the solution on the number line. 7. -5(2t - 1) ≤ 5 Number line: -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

a)

t ≥ -0.5

b)

t ≤ -0.5

c)

t ≥ 0.5

d)

t ≤ 0.5

47.

Solve the inequality and graph the solution on the number line. 8 - 4x > -12 Number line: -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

a)

x < 5

b)

x > 5

c)

x < -5

d)

x > -5

48.

Solve the inequality and graph the solution on the number line: 4c + 1 < -(5 + 2c)

a)

c < -1

b)

c > 1

c)

c > -1

d)

c < 1

49.

Solve the inequality and graph the solution on the number line: 2 - n > 2n + 11

a)

n < -3

b)

n > 3

c)

n < 3

d)

n > -3

50.

Solve the inequality and graph the solution on the number line: 2(3x - 5) > 2x + 6

a)

x > 4

b)

x < 4

c)

x > -4

d)

x < -4

51.

Solve the inequality and graph the solution on the number line: 2(4y - 21) ≤ 12y - 16 + 9y

a)

y ≥ 7

b)

y ≤ 7

c)

y > 7

d)

y < 7

52.

Solve the inequality and graph the solution on the number line: n - 3n ≥ -4n - 7

a)

n ≤ -7

b)

n ≥ 7

c)

n ≥ -7

d)

n ≤ 7

53.

Solve the inequality and graph the solution on the number line: 10(x + 2) > -2(6 - 9x)

a)

x > -1

b)

x < -1

c)

x > 1

d)

x < 1

54.

Solve the inequality and graph the solution on the number line: 11 + 3(-8 + 5x) < 16x - 8

a)

x > 3

b)

x < 3

c)

x > -3

d)

x < -3

55.

Solve the inequality and graph the solution on the number line: 12(2x + 3) ≥ 3(9 + 7x)

a)

x ≥ 3

b)

x ≤ 3

c)

x > 0

d)

x < 0

56.

What is the equation of the line that passes through the point (-5, -2) and has a slope of -1/2?

a)

y = -1/2x - 9/2

b)

y = 2x + 8

c)

y = -2x - 12

d)

y = 1/2x + 1

57.

What is the equation of the line that passes through the point (4, 2) and has a slope of 3?

a)

y = 3x - 10

b)

y = 3x + 2

c)

y = 2x + 3

d)

y = 3x + 4

58.

What is the equation of the line that passes through the point (2, -3) and has a slope of 3/4?

a)

y = (3/4)x - 9/2

b)

y = (4/3)x - 11/3

c)

y = (3/4)x - 9/4

d)

y = (3/4)x + 3

59.

What is the equation of the line that passes through the point (0, 2) and has a slope of -5/2?

a)

y = -5/2x + 2

b)

y = 2x - 5/2

c)

y = 5/2x + 2

d)

y = -2x + 5/2

60.

Solve each equation for y. Then choose 3 values for x and find the corresponding values for y. Graph the 3 ordered pairs and draw the line that contains them. Given the equation: 5x + y = -1, solve for y when x = -1.

a)

4

b)

-6

c)

0

d)

-1

61.

Solve each equation for y. Then choose 3 values for x and find the corresponding values for y. Graph the 3 ordered pairs and draw the line that contains them. Given the equation: 5x + y = -1, solve for y when x = 0.

a)

-1

b)

0

c)

1

d)

-5

62.

Solve each equation for y. Then choose 3 values for x and find the corresponding values for y. Graph the 3 ordered pairs and draw the line that contains them. Given the equation: 5x + y = -1, solve for y when x = 2. What is the value of y?

a)

-11

b)

9

c)

-3

d)

7

63.

Solve each equation for y. Then use the given values for x to find the corresponding values for y. Write answers as ordered pairs. 1. y = 5x Let x = -3, 0, 2 Write the ordered pairs (x, y) for each value of x.

a)

(-3, -15), (0, 0), (2, 10)

b)

(-3, 15), (0, 0), (2, -10)

c)

(-3, -5), (0, 0), (2, 5)

d)

(-3, 0), (0, 5), (2, 10)

64.

Solve each equation for y. Then use the given values for x to find the corresponding values for y. Write answers as ordered pairs. 2. 2x + y = 9 Let x = -1, 0, 5 Write the ordered pairs (x, y) for each value of x.

a)

(-1, 11), (0, 9), (5, -1)

b)

(-1, 7), (0, 8), (5, 2)

c)

(-1, 10), (0, 9), (5, 1)

d)

(-1, 12), (0, 10), (5, 0)

65.

Solve each equation for y. Then use the given values for x to find the corresponding values for y. Write answers as ordered pairs.

a)

(-3, 0), (0, -3), (4, -7)

b)

(-3, 1), (0, -2), (4, -6)

c)

(-3, 2), (0, -1), (4, -5)

d)

(-3, -1), (0, -4), (4, -8)

66.

Solve each equation for y. Then use the given values for x to find the corresponding values for y. Write answers as ordered pairs. 4. y = (2/3)x + 1 Let x = -4, 0, 3 Write the ordered pairs (x, y) for each value of x.

a)

(-4, -5/3), (0, 1), (3, 3)

b)

(-4, 1), (0, 2), (3, 5)

c)

(-4, -2), (0, 0), (3, 2)

d)

(-4, 0), (0, 1), (3, 4)

67.

Solve each equation for y. Then use the given values for x to find the corresponding values for y. Write answers as ordered pairs.

a)

(-2, 17), (0, 1), (1, -7)

b)

(-2, 7), (0, -1), (1, -9)

c)

(-2, 15), (0, 3), (1, -5)

d)

(-2, 13), (0, 5), (1, -3)

68.

Using the formula slope = (difference in y-values) / (difference in x-values), find the slope between the points A (-3, 1) and D (4, 5).

a)

4/7

b)

7/4

c)

-4/7

d)

-7/4

69.

Using the formula slope = (difference in y-values) / (difference in x-values), find the slope between the points C (2, 6) and F (3, 5).

a)

-1

b)

1

c)

0

d)

2

70.

Using the formula slope = (difference in y-values) / (difference in x-values), find the slope between the points B (0, 8) and G (3, 2).

a)

-2

b)

2

c)

-1

d)

1

71.

Using the formula slope = (difference in y-values) / (difference in x-values), find the slope between the points J (-6, -3) and K (-4, 5).

a)

4

b)

-4

c)

2

d)

-2

72.

Using the formula slope = (difference in y-values) / (difference in x-values), find the slope between the points P (9, 4) and M (7, 3).

a)

0.5

b)

2

c)

-0.5

d)

1

73.

Using the formula slope = (difference in y-values) / (difference in x-values), find the slope between the points Q (0, -4) and R (1, -6).

a)

-2

b)

2

c)

1

d)

-1

74.

Using the formula slope = (difference in y-values) / (difference in x-values), find the slope between the points L (-2, 6) and N (2, -3).

a)

-2.25

b)

2.25

c)

-1.5

d)

1.5

75.

Using the formula slope = (difference in y-values) / (difference in x-values), find the slope between the points S (-1, -3) and X (2, -6).

a)

-1

b)

1

c)

0

d)

2

76.

Using the formula slope = (difference in y-values) / (difference in x-values), find the slope between the points T (-4, -4) and Z (6, 3).

a)

0.7

b)

-0.7

c)

1.0

d)

-1.0

77.

Using the formula slope = (difference in y-values) / (difference in x-values), find the slope between the points V (3/4, 3/2) and W (11/4, 5/2).

a)

0.5

b)

1

c)

2

d)

-0.5

78.

Using the graph of the line, find the slope of the line passing through the given points. Slope = change in y / change in x. Choose any 2 points to count the change. What is the slope of the line in graph 1?

a)

-1

b)

0

c)

1

d)

2

79.

Using the graph of the line, find the slope of the line passing through the given points. Slope = change in y / change in x. Choose any 2 points to count the change. What is the slope of the line in graph 2?

a)

1

b)

0

c)

-1

d)

2

80.

Using the graph of the line, find the slope of the line passing through the given points. Slope = change in y / change in x. Choose any 2 points to count the change. What is the slope of the line in graph 3?

a)

2

b)

1

c)

-1

d)

0

81.

Using the graph of the line, find the slope of the line passing through the given points. Slope = change in y / change in x. Choose any 2 points to count the change. What is the slope of the line in graph 4?

a)

-1/2

b)

1/2

c)

2

d)

-2

82.

Find the coordinates associated with the following points. 1. A

a)

(2, 1)

b)

(1, 2)

c)

(0, 1)

d)

(2, 0)

83.

Find the coordinates associated with the following points. 2. K

a)

(10, 3)

b)

(3, 10)

c)

(0, 3)

d)

(10, 0)

84.

Find the coordinates associated with the following points. 3. E

a)

(-1, -4)

b)

(2, 3)

c)

(0, 0)

d)

(4, -2)

85.

Find the coordinates associated with the following points. 4. P

a)

(-2, 3)

b)

(2, -3)

c)

(3, -2)

d)

(-3, 2)

86.

Find the coordinates associated with the following points. 5. T

(a)

87.

Find the coordinates associated with the following points. 6. C

a)

(-2, -1)

b)

(1, 2)

c)

(0, 3)

d)

(2, -2)

88.

Find the letter associated with each pair of coordinates. 7. (2, 1)

a)

A

b)

B

c)

C

d)

D

89.

Find the letter associated with each pair of coordinates. 8. (-1, -4)

a)

E

b)

A

c)

B

d)

C

90.

Find the letter associated with each pair of coordinates. 9. (10, 3)

a)

K

b)

L

c)

M

d)

N

91.

Find the letter associated with each pair of coordinates. 10. (7, -6)

a)

T

b)

A

c)

M

d)

Q

92.

Find the letter associated with each pair of coordinates. 11. (-2, -1)

(a)

93.

Find the letter associated with each pair of coordinates. 12. (-2, 3)

a)

P

b)

Q

c)

R

d)

S

94.

Plotting Points: Connect each of the following ordered pairs on the graph, starting at (0, -1): (1, -1), (1, -3), (3, -3), (3, -1), (5, 0), (8, 0), (7, 1), (9, 0), (8, 2), (5, 1), (4, 3), (3, 4), (2, 3), (1, 4), (0, 3), (-1, 4), (-2, 3), (-3, 4), (-4, 3), (-5, 1), (-8, 2), (-5, 0), (-3, -1), (-3, -3), (-1, -3), (-1, -1), (0, -1). What shape is formed when you connect all the points in order?

a)

A heart

b)

A star

c)

A circle

d)

A triangle

95.

Graph the equation -3x + y = -4 on the provided coordinate plane.

a)

The graph is a straight line with slope 3 and y-intercept -4. (y = 3x - 4)

b)

The graph is a straight line with slope -3 and y-intercept 4. (y = -3x + 4)

c)

The graph is a straight line with slope -4 and y-intercept 3. (y = -4x + 3)

d)

The graph is a straight line with slope 4 and y-intercept -3. (y = 4x - 3)

96.

Graph the equation y - x = -1 on the provided coordinate plane.

a)

The graph is a straight line with slope 1 and y-intercept -1. (y = x - 1)

b)

The graph is a straight line with slope -1 and y-intercept 1. (y = -x + 1)

c)

The graph is a parabola opening upwards with vertex at (1, -1).

d)

The graph is a horizontal line passing through y = -1.

97.

Graph the equation y = -1/2 x on the provided coordinate plane.

a)

The graph is a straight line with slope -1/2 and y-intercept 0.

b)

The graph is a straight line with slope 1/2 and y-intercept 0.

c)

The graph is a straight line with slope -2 and y-intercept 0.

d)

The graph is a straight line with slope 1 and y-intercept 0.

98.

Graph the equation (1/4)x + y = -2 on the provided coordinate plane.

a)

The graph is a straight line with slope -1/4 and y-intercept -2. (y = -1/4x - 2)

b)

The graph is a straight line with slope 1/4 and y-intercept -2. (y = 1/4x - 2)

c)

The graph is a straight line with slope -4 and y-intercept 2. (y = -4x + 2)

d)

The graph is a straight line with slope 4 and y-intercept -2. (y = 4x - 2)

99.

Graph the equation y = -4x - 5 on the provided coordinate plane.

4 lines

100.

Graph the equation y = -2x - 3 on the provided coordinate plane.

4 lines

PreAlgebra Math 7 Part 4

Total questions: 100

Worksheet time: 55mins

Similar Resources on Wayground