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Total questions: 65

Worksheet time: 1hrs 20mins

Name

Class

Date

Solve for x and y: 2x + 3y = 12 and x - y = 1.

x = 2, y = 3

x = 3, y = 2

x = 1, y = 4

x = 4, y = 0

Graph the equation: y = 2x + 1.

Graph the line through points (1, 1) and (2, 5).

Graph the line through points (0, 1) and (1, 3).

Graph the line through points (0, 0) and (1, 2).

Graph the line through points (0, 2) and (1, 4).

Identify the slope and y-intercept of the equation: 3x - 4y = 12.

Slope: 3/4, Y-intercept: -3

Slope: 2, Y-intercept: -6

Slope: -3/4, Y-intercept: 2

Slope: 1/2, Y-intercept: 4

Use substitution to solve: y = 3x + 2 and 2x - y = 4.

x = -6, y = -16

x = 2, y = 8

x = 4, y = 14

x = 0, y = 2

Use elimination to solve: 4x + 2y = 10 and 2x - 3y = -1.

x = 7/4, y = 3/2

x = 1, y = 3

x = 5/2, y = 1/2

x = 2, y = 1

Find the slope of the line passing through points (2, 3) and (4, 7).

Graph the equation: y = -1/2x + 4.

Graph the line with points (0, 4) and (2, 3).

Graph the line with points (0, 0) and (4, 2).

Graph the line with points (1, 5) and (3, 2).

Graph the line with points (0, 2) and (4, 0).

Identify the x-intercept of the equation: 5x + 2y = 20.

Solve for x and y: 3x + 4y = 24 and 5x - 2y = 10.

x = 2, y = 6

x = 1, y = 8

x = 4/13, y = 75/13

x = 3, y = 5

10.

Use substitution to solve: y = 2x - 3 and 3x + y = 9.

x = 0, y = -3

x = 3, y = 3

x = 1, y = -1

x = 12/5, y = 9/5

11.

Use elimination to solve: 6x + 3y = 15 and 2x - y = 1.

(3, -1)

(0, 5)

(1, 1)

(2, 3)

12.

Graph the equation: y = 5x - 2.

Graph the line with points (0, -2) and (1, 3) and extend it.

Sketch the graph with points (0, -1) and (1, 4) and color it.

Draw the line using points (0, 0) and (2, 8) and label it.

Plot the curve with points (0, 2) and (1, 5) and shade it.

13.

Identify the slope and y-intercept of the equation: 2y = 6x + 12.

Slope: 4, Y-intercept: 3

Slope: 1, Y-intercept: 12

Slope: 3, Y-intercept: 6

Slope: 2, Y-intercept: 4

14.

Solve for x and y: x + 2y = 8 and 3x - y = 5.

x = 18/7, y = 19/7

x = 2, y = 3

x = 10/3, y = 4/3

x = 5, y = 1.5

15.

Use substitution to solve: y = -x + 4 and 2x + 3y = 12.

(0, 4)

(3, 1)

(1, 3)

(2, 2)

16.

Use elimination to solve: 7x + 2y = 20 and 3x - 4y = -1.

x = 5, y = 2.5

x = 39/17, y = -1.294

x = 1, y = 9

x = 10, y = 0

17.

Graph the equation: y = 3x + 5.

Graph the line with points (0, 3) and (1, 6).

Graph the line with points (0, 5) and (1, 8).

Graph the line with points (0, 2) and (1, 4).

Graph the line with points (0, 0) and (1, 5).

18.

Identify the x-intercept of the equation: 4x - 5y = 20.

-5

19.

Solve for x and y: 5x + 3y = 15 and 4x - y = 7.

x = 2, y = 3

x = 5, y = 0

x = 1, y = 4

x = 36/17, y = 25/17

20.

Use substitution to solve: y = 4x - 1 and 3x + 2y = 12.

(5/3, 7/3)

(14/11, 45/11)

(2, 3)

(1, 2)

21.

What type of slope is shown?

positive

negative

zero

undefined

22.

What type of slope is shown?

positive

negative

zero

undefined

23.

Find the slope:
(-3, 3) and (7, 6)

3/4

-4/3

3/10

-10/3

24.

What type of slope?

undefined

positive slope

negative slope

zero slope

25.

Find the slope

4/5

5/4

-5/4

-4/5

26.

Which inequality is represented by the words " no more than" or "at most"?

≤

≥

27.

Which inequality is represented by the words " at least"?

≤

≥

28.

When graphing an inequality, you use an open dot when you use which symbol?

<, >

≤, ≥

29.

x < 1 or x > 6

x > 2

x < 2

-1 < x < 5

30.

x < 1 or x > 6

x > 2

x < 2

-1 < x < 5

31.

The sum of a number and eight is not more than three.

x + 8 < 3

x + 8 > 3

32.

x < 1 or x > 6

x > 2

x < 2

-1 < x < 5

33.

x > 2

x < 1 or x > 6

0 < x < 4

x < 0 or 3 < x

34.

A number decreased by five is greater than twenty-five.

x - 5 < 25

x + 5 < 25

x - 5 > 25

x + 5 > 25

35.

Find the value of x in the equation 4x + 10 < 2x - 14

-24

-12

36.

Find the value of x in the equation x + 10 < 15

-25

-5

37.

Find the value of x in the equation x - 9 > 12.

-21

-3

38.

Selma is now 3 times as old as Joyce. Four years ago, Selma was 4 times as old was Joyce was then. How old is Selma now?

(a)

39.

Justin is now 3 times as old as Arthur. In 10 years, Justin will be twice as old as Arthur will be then. How old is Justin now?

(a)

40.

John's mother age is 5 years more than the three times of John's present age. Find John's present age , if his mother is 44 years old.

$13$

$15$

$29$

$39$

41.

Twice a number decreased by 4 equals 10.

(a)

42.

A number increased by 7 is equal to 15

(a)

43.

What is the Property of Equality for "If a=b, then b=a"?

Reflexive

Subsitution

Symmetric

Transitive

44.

What is the Distributive property of equality?

If a=b, then a can be substituted for b in any equation or expression

For any real number a, a=a .

a(b+c)=ab+ac

If a=b, then b=a

45.

What is the division property of equality?

If a=b, then a+c=b+c

If a=b, then ac=bc

If a=b, then a-c=b-c

If a=b, then a/c=b/c

46.

What is the Properties of equality for "If a=b, then a+c=b+c"

Subtraction

Multiplication

Addition

Division

47.

Name the property:

5x + 8x = x(5 + 8)

Substitution Property

Addition Property

Multiplication Property

Dsitributive Property

48.

Name the property:

If m = -2, then 8m = -16

Substitution Property

Transitive Property

Multiplication Property

Division Property

49.

Name the property:

Given 3x + 1, if x = 5, then 3(5) +1

Substitution Property

Transitive Property

Reflexive Property

Distributive Property

50.

Name the property:

If -2c = 18, then 18 = -2c

Addition Property

Transitive Property

Division Property

Symmetric Property

51.

Name the property:

If -2c = 18, then 18 = -2c

Addition Property

Transitive Property

Division Property

Symmetric Property

52.

Name the property:

If 7m = 35, then 7m + 4 = 35 + 4

Addition Property

Transitive Property

Division Property

Symmetric Property

53.

Name the property:

If 3x = 2y and 2y = z, then 3x = z

Addition Property

Transitive Property

Distributive Property

Symmetric Property

54.

Name the property:

If 6y=24, then 6y-3=24-3

Multiplication Property

Subtraction Property

Distributive Property

Substitution Property

55.

Name the property:

-7(n - 4) = -7n + 28

Multiplication Property

Symmetric Property

Distributive Property

Substitution Property

56.

Name the property:

If -5x-1=-11, then -5x=-10

Addition Property

Transitive Property

Distributive Property

Subtraction Property

57.

Name the property:

10y=10y

Addition Property

Transitive Property

Division Property

Reflexive Property

58.

Name the property:

If 2x=14, then x=7

Addition Property

Symmetric Property

Division Property

Reflexive Property

59.

Name the property:

If k=3, then 3=k

Distributive Property

Symmetric Property

Division Property

Reflexive Property

60.

Solve for k:
3k + 5 = 23

k = 4

k = 5

k = 6

k = 7

61.

Which of the following is a linear expression?

$x^2+1$

$y+y^2$

$4$

$1+z$

62.

Solve:
2(4x - 3) - 8 = 4 + 2x

x = 5/3

x = 3

x = 1

x = 2

63.

Identify two consecutive multiples of 3 whose sum is 57.

24 and 33

27 and 30

21 and 36

None of the above

64.

If 2x + 4 = x - 5, then x = ______

-9

-1

65.

The number of solutions to a linear equation is _____

None of the above

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Reviewer

Total questions: 65

Worksheet time: 1hrs 20mins

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