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Worksheets

Expressions and Equations Review

Total questions: 50

Worksheet time: 2hrs 15mins

Name
Class
Date
1.

Which expression matches the phrase below?

the sum of a number and 7

a)

n + 7

b)

7 + n

c)

7n

d)

n - 7

2.

Which expression matches the phrase below?

triple the value of a number

a)

3n

b)

3 + n

c)

3 - n

d)

n - 3

3.

Which expression matches the phrase below?

18 taken away from a number

a)

n - 18

b)

18 - n

c)

18 + n

d)

18/n

4.

Which expression matches the phrase below?

a number split 5 ways

a)

n/5

b)

5/n

c)

n - 5

d)

n + 5

5.

Which equation matches the phrase below?

18 is the same as a number minus 5

a)

18 = n - 5

b)

18 = n + 5

c)

18 = 5n

d)

18 = n/5

6.

Which equation matches the phrase below?

the answer to 4 times a number is 22

a)

4n = 22

b)

4 + n = 22

c)

4 - n = 22

d)

4/n = 22

7.

Solve the following expression.

3w9+6; when w=73w-9+6;\ when\ w=7  

(a)  

8.

Solve the following expression.

k34; when k=4k^3-4;\ when\ k=4  

(a)  

9.

Solve the following expression.

(8h+4)÷2; when h=2\left(8h+4\right)\div2;\ when\ h=2  

(a)  

10.

Determine if the solution to the equation given is true or false.

3x=15; x=53x=15;\ x=5  

a)

True

b)

False

11.

Determine if the solution to the equation given is true or false.

22+3j=54; when j=222+3j=54;\ when\ j=2  

a)

True

b)

False

12.

Determine if the solution to the equation given is true or false.

72b=9; when b=9\frac{72}{b}=9;\ when\ b=9  

a)

True

b)

False

13.

Solve the following expression if a=3, b=5, and c=2

abcabc  

(a)  

14.

How would you solve the following equation?

5h = 85

a)

Divide by 85 on both sides

b)

Divide by 5 on both sides

c)

Multiply by 5 on both sides

d)

Multiply by 85 on both sides

15.

How would you solve the following equation?

21 = p - 10

a)

Subtract 21 on both sides

b)

Add 21 on both sides

c)

Add 10 on both sides

d)

Subtract 10 on both sides

16.

Solve the following equation.

7m = 49

a)

m = 7

b)

m = 352

c)

m = 42

d)

m = 56

17.

Solve the following equation.

m - 16 = 0

a)

m = 16

b)

m = 32

c)

m = 1

d)

m = 0

18.

Solve the following equation.

m/6 = 4

a)

m = 24

b)

m = 2

c)

m = 10

d)

m = 64

19.

Solve the following equation.

19 = m - 7

a)

m = 26

b)

m = 12

c)

m = 3

d)

m = 142

20.

Solve the following equation.

m÷2=8m\div2=8  

a)

m = 16

b)

m = 4

c)

m = 10

d)

m = 6

21.

Solve the following equation.

m3=12\frac{m}{3}=12  

a)

m = 36

b)

m = 4

c)

m = 15

d)

m = 9

22.

Select the equation that best matches the following situation.

Cooper went on a total of 14 walks this week. We went on the same number of walks each of the 7 days.

a)

14 - x = 7

b)

14 + x = 7

c)

14/x = 7

d)

14x = 7

23.

Select the equation that best matches the following situation.

There were candies placed in a jar. 22 more were placed in later, giving a total of 47 candies.

a)

22 - x = 47

b)

22 + x = 47

c)

22/x = 47

d)

22x = 47

24.

Select the equation that best matches the following situation.

Haliey went to an ice cream shop with a $20 bill. She bought ice cream for her and her friend and had $6 left. How much did she spend on ice cream?

a)

20 - x = 6

b)

6 + x = 20

c)

20/x = 6

d)

20x = 6

25.

Identify the coefficient(s) in the following expression

5s - 9 + 2g

a)

5, 2

b)

5, 2, 9

c)

5s, 2g

d)

9

26.

Identify the term(s) in the following expression

5s - 9 + 2g/p

a)

5s, 9, 2g/p

b)

5s, 9, 2g, p

c)

5s, 2g, p

d)

9

27.

Identify the variable(s) in the following expression

5s - 9 + 2g

a)

s, g

b)

5s, 2g, 9

c)

5s, 2g

d)

9

28.

Identify the constant(s) in the following expression

5s - 9 + 2g

a)

5, 2

b)

5, 2, 9

c)

5s, 2g

d)

9

29.

Which of the following correctly writes the following exponent using multiplication?

656^5  

a)

6x6x6x6x6

b)

6x5

c)

5x5x5x5x5x5

d)

5x6

30.

Which of the following correctly writes the following exponent using multiplication?

232^3  

a)

2x2x2

b)

2x3

c)

6

d)

3x3

31.

Which of the following correctly writes the following multiplication using an exponent?

4x4x4x4x4 

a)

454^5  

b)

545^4  

c)

444^4  

32.

Which of the following correctly writes the following multiplication using an exponent?

dddddd\cdot d\cdot d\cdot d\cdot d  

a)

d5d^5  

b)

4d4^d  

c)

5d5d  

33.

What is it called when I get the variable by itself?

a)

isolate

b)

inverse

c)

coefficient

d)

expression

34.

What is the difference between an expression and an equation?

a)

Expressions have an equal sign, equations do not

b)

Equations have an equal sign, expressions do not

c)

Expressions and equations are the same

d)

Equations have variables, expressions do not.

35.

Select all of the following that are examples of expressions.

a)

5r - 3

b)

w + 2/k

c)

22p

d)

8 - k = 12

36.

Select all of the following that are examples of equations.

a)

9x - 12

b)

13 = 2/k

c)

18 - 2g = 9

d)

8 - k = 12

37.

What is it called when you replace a variable with a known number?

a)

substitution

b)

constant

c)

inverse

d)

isolate

38.

Identify the constant(s) in the following expression

5r+3g265r+3g^2-6  

a)

5, 3

b)

5, 3, 6

c)

5r, 3g25r,\ 3g^2  

d)

6

39.

Identify the variable(s) in the following expression

5r+3g265r+3g^2-6  

a)

r,gr,g  

b)

r,g2r,g^2  

c)

5r, 3g25r,\ 3g^2  

d)

6

40.

Identify the coefficient(s) in the following expression

5r+3g265r+3g^2-6  

a)

5, 3

b)

5, 3, 6

c)

5r, 3g25r,\ 3g^2  

d)

6

41.

Identify the term(s) in the following expression

5r+3g265r+3g^2-6  

a)

5r, 3g2, 65r,\ 3g^2,\ 6  

b)

5, 3, 6

c)

5r, 3g25r,\ 3g^2  

d)

6

42.

Solve the following equation.

m - 6 = 0

a)

m = 6

b)

m = 0

c)

m = 1

d)

m = -6

43.

Solve the following equation.

m + 12 = 24

a)

m = 12

b)

m = 2

c)

m = 36

d)

m = 142

44.

What operation is the inverse of multiplication?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

45.

What operation is the inverse of subtraction?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

46.

What operation is the inverse of addition?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

47.

What operation is the inverse of division?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

48.

One way to be certain of your work and having the correct solution is to what?

a)

Isolate the variable

b)

Inverse operations

c)

Opposite

d)

Check your solution

49.

What is the first step to solve the following equation:

y + 9 = 83

a)

Add 9 on both sides

b)

Subtract 9 on both sides

c)

Add y to the right side

d)

Subtract 9 on the left side

50.

Select the equation that best matches the following situation.

Myself and 3 friends went to a strawberry field. We picked a total of 40 strawberries. How many would we each have picked if we picked them equally?

a)

x - 4 = 40

b)

4 + x = 40

c)

40/x = 4

d)

40x = 4