Unit 6 Review

Solving Equations Vocabulary

100

A __________ is a letter or symbol that represents a number. You can choose different numbers for the value of the __________.

variable

200

A __________ to an equation is a value of a variable that makes the equation true. For example, 5 is a __________ to the equation 3𝑥 = 15 because 3(5) = 15. 

solution

300

A __________ is a number multiplied by a variable, usually without a symbol in between the number and the variable. In the expression 5𝑥 + 8, the __________ of 𝑥 is 5.

coefficient

400

A __________ is a part of an expression that involves addition. It can be a single number, a variable, or a variable and a number multiplied together. For example, the expression 5𝑥 + 8 has two __________. The first __________ is 5𝑥 and the second term is 8. 

term

500

In order to solve an equation we must perform the __________   __________  on both sides to isolate the variable. 

inverse operation / opposite action

Solving One Step Equations

100

^{SHOW YOUR WORK}

^{Find the solution to this equation:}

5x=25

 x = 5

200

^{SHOW YOUR WORK}

^{Find the solution to this equation:}

x/7 = 8

x = 56

300

^{SHOW YOUR WORK}

^{Find the solution to this equation:}

b+1.9 = 3.7

b = 1.8

400

^{SHOW YOUR WORK}

^{Find the solution to this equation:}

1/2a=5/8

a = 10/8

or 

a = 1 1/4

500

Jessica purchased b books for $7.25 each. Her total was $79.75. 

Write and solve an equation for how many books Jessica purchased. 

7.25b=79.75

b=11

Expressions Vocabulary

100

__________ expressions are different ways of describing the same quantity.

𝑥 + 𝑥 + 𝑥 is __________ to 3𝑥 because they both describe three copies of an unknown number, 𝑥.

equivalent

200

__________ describes repeated multiplication.

For example, 

2^4 = 2 times 2 times 2 times 2 = 16

It is called “ to the power of ” or “ to the fourth.” 

2 is called the base and 4 is called the __________ 

exponent

300

A __________ describes two or more quantities that are being multiplied together. For example, the area of a rectangle is the __________ of 3 and 2𝑥 + 5 or 3(2𝑥 + 5).

product

400

You can use the __________   __________ to perform the multiplication outside of parenthesis to the terms inside. 

For example 5(x + 10) becomes 5x + 10

Distributive Property

500

You can __________   __________   __________  if they have the same variable and exponent. 

For example 3a + 2x + 5 + 4a - x -2 becomes 7a + x + 3

combine like terms

Equivalent Expressions

100

Combine like terms to generate an equivalent expression

10x+3x

13x

200

Use the distributive property to generate an equivalent expression

7(a+2)

7a+14

300

Combine like terms to generate an equivalent expression

5x+10+2x+5

7x+15

400

Use the distributive property to generate an equivalent expression

0.5(8m+42)

4m+21

500

Use the distributive property to generate an equivalent expression

4y+10x+20+9y-6x-9

13y+4x+11

Evaluating Expressions

100

Evaluate 3b when b=8

24

200

To __________ means to replace a variable with its given value. 

substitute

300

What does each letter in PEMDAS stand for? 

Parenthesis

Exponent

Multiplication and Division

Addition and Subtraction

400

Evaluate 9m+11 when m=20

191

500

Evaluate when x=4

8(x+6)-7

63