Math 7: Ch 3 Test Review

Algebraic Expressions

100

Identify the terms, coefficients, variables, and constants in the following expression:

3x^3 - 4x^2 + 3y - 16

Terms: 3x ^3      -4x^2        3y         -16

Coefficients:  3     -4            3

Variables: x^3      x^2         y

Constants:                                        -16

200

Simplify the expression

4y + 6 + 3x - 4y + 3x + 5

6x + 11

300

Simplify the expression

1/2 x + 3 + 3 1/2 x - 1

4x + 2

400

Simplify the expression:

-2/3 x - 7/3 + 12x + 3/5

34/3 x - 26/15

500

Simplify the expression

5.6 x - 5 - 6.5 x + 14

-0.9 x + 9

Adding Linear Equations

100

(n + 8) + (n - 12)

2n -4

200

(2x - 7) + (5x -11)

7x - 18

300

DAILY DOUBLE (PEW PEW PEW!)

(-3.5 k + 8) + (3k + 21.2)

-0.5 k + 29.2

400

(-7.2 x + 4) + (1/4 x - 15)

6.95 x - 11

500

(7/4 x - 5) + (2y - 3.5) + (-1/4 x + 5)

7/2 x - 3.5

Subtracting Linear Equations

100

(-2 g + 7) - (g + 7)

-3g

200

(6d +5) - (2 - 3d)

9d + 3

300

(2n - 9) - (2.4n + 4)

-0.4n - 13

400

(1- 5q) - (2.5 s + 8) - (0.5 q + 6)

4.5 q - 2.5s - 13

500

( 3/4  x ^2 + 1/2  x− 5/8  )−( 1/4  x ^2 − 3/4  x+ 1/8  )

1/2 x^2 + 5/4 x - 3/4

The Distributive Property

100

3(x ^2 +4x+5)

3x ^2 +12x+15

200

−2(5y ^2 −3y+4)

-10y^2 + 6y - 8

300

1/2  (6a ^2 +8a−10)

3a ^2 +4a−5

400

−4( 1/3 x ^3 − 2/5  x ^2 + 3/4  )

− 4/3  x ^3 + 8/5  x ^2 −3

500

DAILY DOUBLE (PEW PEW PEW!)

1/3 (3x^2 + 9) + 1/4 (8x^2 - 16)

3x^2 -1

Factoring Expressions

100

Factor

4x+12

4(x+3)

200

6x - 18

3(2x - 6)

300

1/3x + 12

1/3 (x + 4)

400

2x^2 - 8x + 6

2(x ^ 2 −4x+3)

500

Factor by the coefficient of the variable term

6x ^ 2 +18

6(x+3)