Expressions and Equations

Vocabulary

100

This type of math problem has no equal sign.

Expression

200

This type of math problem has an equal sign.

Equation

300

Definition of the Distributive property 

for any numbers a, b, c,  a(b+c) = ab + ac

400

Another word for the letters used in expressions and equations.

Variable

500

The number that goes with the variable

Coefficient

Writing Expressions

100

Write the expression for 

2 more than x 

2 + x

200

Write the expression for 

double m decreased by 7

2m - 7

300

Write the expression for

5 less than quadruple x 

4x - 5

400

Write the expression for 

Twice the sum of a and b

2(a+b)

500

Write the expression for 

The quotient of triple h and the difference of 8 and z

3h/8-z

Solve equations

100

x/10 = 3

30

200

8x = 97.6

12.2

300

x + 3  2/5 = 8  1/15

4 2/3

400

4x + 3 = 63

15

500

3( 6x - 8) = 21

2.5

Simplify Expressions

100

Simplify:

3(x+2)

3x + 6

200

Simplify

-4 (m + 9)

-4m - 36

300

Simplify:

3x - 9x

-6x

400

factor out:

24x + 18

2( 2x + 9)  or

3(8x + 6) or

6(4x +3)

500

104x - 78xy

13x (8 - 6y)

2x (52 - 39y)

Writing and solving Equations

100

It costs Fred $8 for a toothbrush. Write an equation to show the total amount Fred will spend on a toothbrush. 

$8 = t

200

Write an equation for the following: 

Four less than a number is twenty.

x-4 = 20

x= 24

300

Kayla can run only a third of the distance Jake can run. Write an equation to show the distance Kayla can run compared to Jake if Jake ran 6.45 miles today.

k/3 = j  or k(1/3) = j

k= 2.15 miles

400

It costs $8.95 for a pizza and $2 for a delivery fee. Write an equation for the total amount it would cost to get a pizza delivered.  How many pizzas did you get if the total bill was $55.70?

8x + 2 = t

x= 6 pizzas

500

2/9 of the students in the gym are 6th graders.  How many students are in the school if 42 of them are sixth graders?

2/9(t) = s

t=189