Free Printable Translating Epressions and Equations

Worksheets

Translating Epressions and Equations

Total questions: 122

Worksheet time: 7hrs 17mins

Name

Class

Date

m plus the product of 6 and n

m + 6n

m - 6 + n

6m + n

m + 6 + n

Three less than twice a number

2x-3

3x-2

3-2x

2-3x

A number squared increased by 1

1+√2

x²+1

x²-1

_{√2 +1}

The difference of a number and 7

7-x

x+7

x/7

x-7

The quotient of a number and -2

x/-2

-2/x

x*-2

x/2

The sum of a number and 4

4+x

x+4

x/4

4+4

Two times the sum of a number and 5 is 20

2(x+5)=20

(2x)+5=20

2x+(x+5)=20

x+x+5=20

Four times the difference of a number and 7 is 32

4(x-7)=32

4x-7=32

4-x-7=32

(4x)-x+7=32

Which expression correctly represents that Jaime walked 7 miles fewer than 3 times the number of miles (r) that Robert walked.

3(r-7)

3r - 7

7(3-r)

7 - 3r

10.

Kalia buys 5 items that cost d dollars each. She gives the cashier $60. Which expression represents the change she should receive?

60 - 5d

60 - d

60 + 5d

5d - 60

11.

What expression represents 19 more than 6 times a number, n

6n + 19

6n - 19

19n + 6

19n - 6

12.

What algebraic equation represents "four times the difference of a number, x and two, equals twenty"?

2x - 4 = 20

4(2) - x = 20

4x - 2 = 20

4(x - 2) = 20

13.

the product of 8 and the difference of c and 9

8c - 9

8 (c - 9)

8 (c+9)

9 (c + 8)

14.

What is the difference between an expression and equation?

Expressions have an equal sign and equations do not have an equal sign

Expressions do not have an equal sign and equations do have an equal sign

There is not a difference

Expressions do not have variables and equations have variables

15.

How would you translate
x - 5 = 12 into words?

x - 5 = 12

The product of x and 5 is twelve

x less than 5 is 12

Five less than x is 12.

16.

Translate: two times the sum of a number and five

2 + y + 5

2y + 5

2(y + 5)

2 - y + 5

17.

a number more than 12

n + 12

12n

12 + n

12 - n

18.

What does "product" mean?

Multiply

Divide

Add

Subract

19.

What does "difference" mean?

add

subtract

multiply

divide

20.

m plus the product of 6 and n

m + 6n

m - 6 + n

6m + n

m + 6 + n

21.

a number more than 12

n + 12

12n

12 + n

12 - n

22.

Translate: two times the sum of a number and five

2 + y + 5

2y + 5

2(y + 5)

2 - y + 5

23.

What is the difference between an expression and equation?

Expressions have an equal sign and equations do not have an equal sign

Expressions do not have an equal sign and equations do have an equal sign

There is not a difference

Expressions do not have variables and equations have variables

24.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

8 - 4m

8m - 4

8m + 4

4m - 8

25.

Write an algebraic expression for:
three times a number plus 16

3(16)+n

16n+3

3n+16

26.

Translate the sentence into an equation.
Seven subtracted from n is 18

n + 7 = 18

7 - n = 18

n - 7 = 18

n + 7 = 18n

27.

Translate the sentence into an equation:
Four more than six times a number is 18.

4 + 6x = 18

4x + 6 = 18

6x + 4 = 18

not enough info

28.

How would you translate
x - 5 = 12 into words?

x - 5 = 12

The product of x and 5 is twelve

x less than 5 is 12

Five less than x is 12.

29.

Translate: Six fewer than twice a number is four.

6 - 2x = 4

2x - 6 = 4

x² - 6 = 4

6 - x² = 4

30.

Which matches the expression below?

2x + 5

Five times a number increased by two.

The sum of five and twice a number.

Two more than the product of five and a number.

31.

Which matches the expression below?

x −9

Nine more than a number.

The sum of a number and nine.

A number decreased by nine.

32.

What is the difference between an expression and equation?

Expressions have an equal sign and equations do not have an equal sign

Expressions do not have an equal sign and equations do have an equal sign

There is not a difference

Expressions do not have variables and equations have variables

33.

What does "difference" mean?

add

subtract

multiply

divide

34.

Three less than twice a number

2x-3

3x-2

3-2x

2-3x

35.

Erik ran 3 less than 5 times the distance that Kerry, k, ran. Which expression represents how far Erik ran?

3 - 5k

5k - 3

5 (3-k)

5 (k-3)

36.

Which expression correctly represents that Jaime walked 7 miles fewer than 3 times the number of miles (r) that Robert walked.

3(r-7)

3r - 7

7(3-r)

7 - 3r

37.

Kalia buys 5 items that cost d dollars each. She gives the cashier $60. Which expression represents the change she should receive?

60 - 5d

60 - d

60 + 5d

5d - 60

38.

Marie currently has a collection of 58 stamps. If she buys s stamps each week for w weeks, which expression represents the total number of stamps she will have?

58sw

58 + sw

58s + w

58 + s + w

39.

Translate the following expression: seven times the quantity of a plus b

7 x a + b

a + b x 7

7(a + b)

a(7 + b)

40.

What operation does "SUM" represent?

Addition

Subtraction

Multiplication

Division

41.

What operation does "QUOTIENT" represent?

Addition

Subtraction

Multiplication

Division

42.

What does the word "POWER" represent?

Parentheses

Multiplication

Exponents

Division

43.

Which expression has a coefficient of 2?

$2+xy$

$x+2$

$2x-7$

$4x+7$

44.

Definition of a term.

Parts of an expression separated by + and - signs

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

A term or expression with no variables

The numbers or expressions that when multiplied produce a given product

45.

Definition of a constant

Parts of an expression separated by + and - signs

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

A term or expression with no variables

The numbers or expressions that when multiplied produce a given product

46.

Definition of a factor.

Parts of an expression separated by + and - signs

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

A term or expression with no variables

The numbers or expressions that when multiplied produce a given product

47.

Definition of a coefficient.

Parts of an expression separated by + and - signs

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

A term or expression with no variables

The numbers or expressions that when multiplied produce a given product

48.

In the following expression, the number 11 is an example of _____________?
5x³ - 7x + 11

term

constant

coefficient

variable

49.

How many terms are in the following expression?
2x³ - 7 + 11x⁸ - 4x⁵

50.

Identify the coefficient of the second term:

-9b + 4x - 9

-9

51.

A variable is a ________________ or __________________ that represents an unknown value.

letter or symbol

term or expression

constant or coefficient

noughts or crosses

52.

An Algebraic Expression is a mathematical phrase that includes at least one ___________________.

variable

coefficient

constant

Sponge Bob

53.

Identify the terms of the algebraic expression:

3x + 5

3x and 5

54.

Solve the inequality:
x + 7 < 9

x < 2

x < 16

x < 63

55.

x is no more than 13

x < 13

x > 13

x ≥ 13

x ≤ 13

56.

Solve the following inequality:
-4x + 14 ≤ 54

x ≥ -10

x ≤ -10

x ≥ 10

x ≤ 10

57.

What interval notation does the number line graph represent?

[∞, -5)

(∞, -5)

[-5, ∞)

(-5, ∞)

58.

Solve the inequality.

x + 5 ≤ 13

[8, ∞)

[18, ∞)

(-∞, 8]

(-∞, 18]

59.

Write the following solution in interval notation:

x ≥ -3

[ -3, ∞ )

( -3, ∞ )

( -∞ , -3 )

( -∞ , -3]

60.

Write the following solution in interval notation:

z < 20

( -∞ , 20 )

( 20,∞)

( -∞ , 20)

( -∞ , 20]

61.

When writing a solution in interval notation, what brackets do i use for:

> or <

[ ]

( )

62.

When graphing an inequality solution, what type of circle do I draw for the symbol:

> or <

open circle

closed circle

63.

When graphing an inequality solution, what type of circle do I draw for the symbol:

or ≤ or ≥

Closed Circle

Open Cirlce

64.

When writing in interval notation, what kind of brackets do I use for:

or ≤ or ≥

[ ]

( )

65.

Given:

x ≤ -10

Is -25 a solution?

Yes, it is a solution.

No, it is not a solution.

66.

Given:

x > 15

Is -25 a solution?

Yes, it is a solution.

No, it is not a solution.

67.

Which scenario could be represented by the graph?

The temperature is less than -1 degree.

The temperature is more than -1 degree.

The temperature is at most -1 degree.

The temperature is at least -1 degree.

68.

Which is the solution of
-4 - 6m > -9m + 8?

m < -4

m > 4

m < 15

m > 36

69.

Solve the inequality.
x + 5 ≤ 13

x ≥ 8

x ≥ 18

x ≤ 8

x ≤ 18

70.

-3 + x ≤ -11

x ≤ -8

x ≤ 8

x ≥ -8

x ≥ 8

71.

2x < -3x + 15

x > 3

x > 15

x < 3

x < 15

72.

3x - 2 < 13

x > 3.67

x > 5

x < 5

x < 3.67

73.

Solve 24 > -3r > -9

-8 < r < 3

-8 > r > 3

r > - 8 and r > 3

r > -8 or r < 3

74.

x + 8 < 3 or - 8x < -40

x > -5 or x < 5

x < -5 and x > 5

x < -5 or x > 5

x > -5 and x < 5

75.

What inequality does the number line graph represent?

x > 5

x < −5

x ≥ 5

x ≥ −5

76.

x + 5 > 7

x > -2

x > 2

x > 12

x > -12

77.

Express the following in Interval Notation
-8 ≤ x < 8

[-8, 8]

[-8,8)

(-8, 8]

(-8, 8)

78.

Write the inequality in interval notation.

(-2,5)

(-∞,-2) or (5,∞)

[-2,5]

(-∞,-2] or [5,∞)

79.

What interval notation does the number line graph represent?

[∞, -5)

(∞, -5)

[-5, ∞)

(-5, ∞)

80.

When writing a solution in interval notation, what brackets do i use for:

> or <

[ ]

( )

81.

When writing in interval notation, what kind of brackets do I use for:

or ≤ or ≥

[ ]

( )

82.

Express the following interval as an inequality:

[3, 5]

3 ≤ x ≤ 5

3 < x ≤ 5

3 ≤ x < 5

3 < x < 5

83.

Solve the following inequality:

3x + 2 < −4 or 4x + 4 > 24

x < −2 or x > 5

x < 2 or x > 5

x < −2 and x > 5

x < 2 and x > 5

84.

Solve the following compound inequality:

0 < x + 7 < 9

−7 < x and x < 2

−7 < x or x < 2

−7 > x and x > 2

−7 > x or x > 2

85.

What inequality is graphed?

x > 2 and x ≤ −3

x > 2 and x < −3

x > 2 or x ≤ −3

x > 2 or x < −3

86.

-8x < 48

x < -6

x > -6

x < 6

x > 6

87.

Solve and write your answer in interval notation.

a-6\le15+8a

[-3, ∞)

(-∞, -3]

(3, ∞)

(-3, ∞]

88.

Solve: -3 ≤ 2x - 1 ≤ 5

-1 ≤ x ≤ 3

-1 < x < 3

1 < x < 3

1 ≤ x ≤ 3

89.

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

<, >

≤, ≥

90.

When you graph an inequality, you used a closed dot when you use which symbols?

≤, ≥

<, >

91.

What inequality is graphed?

x > 2 and x < 4

x ≥ 2 and x ≤ 4

x > 2 or x < 4

x ≥ 2 or x ≤ 4

92.

What inequality is graphed?

x > 2 and x ≤ -3

x > 2 and x < -3

x > 2 or x ≤ -3

x > 2 or x < -3

93.

Solve:
3x + 2 < -7 or -4x + 5 < 1

x < -3 and x < 1

x < -3 and x > 1

x < -3 or x < 1

x < -3 or x > 1

94.

x > -3 or x > 1

x < -3 or x < 1

x ≥ 3 and x ≤ 1

x > -3 and x < 1

95.

x < 0 or x ≥ 2

x < 0 or x > 2

x ≤ 0 or x ≥ 2

x ≤ 0 or x > 2

96.

Solve and graph:

97.

Write an inequality for Graph 3.

x ≤ -2 AND x > 5

x ≤ -2 OR x > 5

x ≥ -2 OR x < 5

-2 ≤ x < 5

98.

What is one possible solution to this inequality?

4 lines

99.

Select all possible solutions for this inequality.

2.5

100.

Select all possible solutions to this inequality.

-2

-1

-1.5

101.

Write the compound inequality for this graph.

4 lines

102.

Write the compound inequality for this graph.

4 lines

103.

Solve: -3 ≤ 2x - 1 ≤ 5

-1 ≤ x ≤ 3

-1 < x < 3

1 < x < 3

1 ≤ x ≤ 3

104.

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

<, >

≤, ≥

105.

When you graph an inequality, you used a closed dot when you use which symbols?

≤, ≥

<, >

106.

x+2<-4 or -5x<-15

-6<x<3

x<-3 and x>6

x<-6 or x>3

No Solution

107.

2<x+2<5

0<x<3

4<x<7

4<x<3

0<x<7

108.

109.

Solve and graph:

110.

What inequality is graphed?

x > 2 and x < 4

x ≥ 2 and x ≤ 4

x > 2 or x < 4

x ≥ 2 or x ≤ 4

111.

What inequality is graphed?

x > 2 and x ≤ -3

x > 2 and x < -3

x > 2 or x ≤ -3

x > 2 or x < -3

112.

Write an inequality for Graph 3.

x ≤ -2 AND x > 5

x ≤ -2 OR x > 5

x ≥ -2 OR x < 5

-2 ≤ x < 5

113.

Write an inequality for Graph 4.

-2 < x < 5

x < -2 or x > 5

x ≥ -2 OR x < 5

-2 ≤ x ≤ 5

114.

Solve:
|x + 3| > 8

x > 5 or x < -11

x > 5

all real numbers

no solution

115.

Solve:
3 | 2x + 7| - 7 < -4

x < -3 and x > -5/3

x < -3 and x > -4

all real numbers

no solution

116.

Solve.
|2x - 1| = 7

x = -3 or x = 4

x = 4

x = 4 or x = -4

no solution

117.

Solve.
-5|x - 4| > -20

x < 8 and x > 0

x > 8 or x < 0

all real numbers

no solution

118.

-2(x+2) < 14

x < - 5

x > -5

x < -9

x > -9

119.

Which is a solution of
5(v + 3) - 10v > -10

v < 5

V > 5

V > -5

v < -5

120.

What word or phrase best describes the graph of an AND inequality?

separate

between

not between

annoying

121.

What word or phrase best describes the graph of an OR inequality?

inside

between

not between

beautiful

122.

Why do we graph inequalities?

There is no good reason to graph inequalities.

We need to practice our art skills.

THE GRAPH SHOWS ALL THE SOLUTIONS TO THE INEQUALITY.

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Translating Epressions and Equations

Total questions: 122

Worksheet time: 7hrs 17mins

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