Mastering Algebraic Expressions

Evaluate the expression 3x + 5 for x = 2.

• 9

• 7

• 11

• 13

Identify the like terms in the expression 4a + 3b + 2a - 5b.

• 2a and 3b; 4a and -5b.

• Like terms are 4a and 2a; 3b and -5b.

• 4a and 3b; 2a and -5b.

• 4a and -5b; 3b and 2a.

Apply the distributive property to simplify 5(2x + 3).

• 5x + 3

• 10x + 15

• 10x + 3

• 5(2x) + 5(3)

Use the identity (a + b)² = a² + 2ab + b² to expand (x + 4)².

• x² + 8x + 16

• x² + 4x + 12

• x² + 16

• x² + 6x + 24

Solve the equation 2x + 3 = 11 for x.

• 2

• 4

• 3

• 5

Evaluate the expression 7y - 4 for y = 3.

• 15

• 10

• 20

• 17

Identify the like terms in the expression 6m + 2n - 3m + 4n.

• 6m and 2n

• -3m and 4n

• 2n and -3m

• The like terms are 6m and -3m, and 2n and 4n.

Apply the distributive property to simplify 3(x + 4) - 2(x - 1).

• x + 10

• 5x + 2

• 3x + 12

• x + 14

Use the identity a² - b² = (a + b)(a - b) to factor x² - 9.

• (x + 3)(x - 3)

• (x + 2)(x - 2)

• (x + 4)(x - 4)

• (x + 1)(x - 1)

Solve the equation 5x - 2 = 3x + 6 for x.

• 2

• 4

• 6

• 0