Variables and Expressions

Order of Operations

100

3 + (2 × 8)

19

200

(18÷3)+7-2

11

300

2×(3²+ (4-1))

24

400

(5×(3+9-8)²÷10

8

500

2+(3⁴-32)²-10

2,393

Labeling parts of an expression

100

What is the constant of the expression? 2x²y+12y-6x+24

24

200

What is the variable of this expression? 2x²-3y+4x+6y-4

x and y

300

What are the coefficients of the expression? 4x³+5xy-10x-16y+9

4, 5, -10, -16

400

How many terms are in the expression? 24y⁴-16x²+4xy+5x-17y+15

6 terms

500

What is the degree of the expression? 6x⁵y-14x³+12y²-3x-4y+19

5

Like and unlike terms

100

Are the following terms like or unlike terms?

3x² and 3y²

Unlike terms

200

Are the following terms like or unlike terms?

16a⁴ and 5a⁴

Like terms

300

Combine like terms and write as an expression

2x³+4x-2x+4e³-10+5

6x³+2x-5

400

Combine like terms and write as an expression

5e²-2+6e+3-7e²+4e-8

-2e²+10e-7

500

Combine like terms and write as an expression

15a⁴+2b²-c+2a⁴-6b²+4c+15-13

17a⁴-4b²+3c+2

Algebraic expressions and verbal phrases

100

x increased by 8

x+8

200

The quotient of 36 and 9

36÷9

300

The sum of x and 20, divided by 4

(x+20)÷4

400

3 more than 5 times a number

5n+3

500

The quotient of a number and 3, plus 6

(n÷3)+6

Miscellaneous

100

2x+3y, x=5 and y=9

37

200

True or False

(12−4)÷2+6=18

False; 10

300

True or False?

(20÷(5−3))+(2³×2)=22

False; 26

400

Create an expression with 4 terms, all negative coefficients, 2 variables, 3rd degree, and positive constants.

Ex. -2x³-4y-3x+6

500

Create an expression with 5 terms, 2 constants, 4th degree, and all negative coefficients.

Ex. -4x⁴-5x²-7x+8-2