Unit 6 Math

Vocab

100

A letter that represents a number is called what?

A variable

200

A problem with a variable is called what?

an equation

300

finding the value of the variable in an equation is called what?

The solution

400

x+3 and 3+x are examples of what?

Equivalent expressions

500

The number multiplied by a variable is called what?

coefficient

Dividing Fractions

100

3 ÷ ½

6

200

2 ÷ ⅓

6

300

⅓ ÷ ½

⅔

400

2½ ÷ ⅛

20

500

⅑ ÷ ⅑

1

Writing Equations for Word Problems

100

Channing made 10 baskets during the first half of her basketball game. She made more baskets in the second half and by the end of the game she had made a total of 24 baskets. Write an equation to represent this situation. 

10 + x = 24

200

Ian played minecraft for the same number of minutes every day for 4 days. By the end of the 4 days he had played 20 minutes of minecraft. Write an equation to represent this situation.

4x = 20

300

Sophia bought a pizza with 7 total slices. She ate 2 pieaces on Monday and finished the pizza on Tuesday. How many pieces did she eat on Tuesday? 

5 pieces

400

Evelyn ran 1½ miles every day until she ran a total of 7½ miles. How many days did she run? Write an equation to represent the problem AND solve it. 

1½x = 7½

x=5

5 days

500

Richie filled each of his water bottles with ⅕ cup of water. He had 2 cups of water total. How many bottles did he use? Write an equations to represent this situation AND solve it.

⅕x = 2 

x=10

10 bottles

Solving Equations

100

x-12=24

x=36

200

x+4=12

x=8

300

3x = 6

x=2

400

x÷6=5

x=30

500

⅓x=6

x=18

Solving Percent Equations

100

50% of a number is 40

Write an equation using a variable

0.5x=40

200

25% of a number is 4

Write an equation using a variable

0.25x=4

300

solve: 20% of 100 

20

400

30% of a number is 12

Write and equation using a variable AND solve

0.3x=12

x=40

500

95% of a number is 285

Write an equation with a variable AND solve

0.95x=215

x=300