A1 Cumulative Review #2 (Regents Questions)

When 3x + 2 ≤ 5(x − 4) is solved for x, the solution is

• x ≤ 3

• x ≥ 3

• x ≤ −11

• x ≥ 11

Answer explanation

3x + 2 ≤ 5(x − 4)

3x + 2 ≤ 5x − 20

22 ≤ 2x

11 ≤ x

• 6

• 2

• 3

• 4

Answer explanation

Constant: the number without the variable

An equation is given below.

4(x − 7) = 0.3(x + 2) + 2.11

The solution to the equation is

• 8.3

• 8.7

• 3

• -3

Answer explanation

4(x − 7) = 0.3(x + 2) + 2.11

4x − 28 = 0.3x + 0.6 + 2.11

3.7x − 28 = 2.71

3.7x = 30.71

x = 8.3

Which value would be a solution for x in the inequality 47 − 4x < 7?

• −13

• -10

• 10

• 11

Answer explanation

47 − 4x < 7

−4x < −40

x > 10

The formula Ax + By = C represents the equation of a line in standard form.

Which expression represents y in terms of A, B, C, and x?

(Solve for y)

Which expression results in a rational number?

Peter has $100 to spend on drinks for his party.

Bottles of lemonade cost $2 each, and juice boxes cost $0.50 each.

If x is the number of bottles of lemonade and y is the number of juice boxes, which inequality models this situation?

• 0.50x + 2y ≤ 100

• 0.50x + 2y ≥ 100

• 2x + 0.50y ≤ 100

• 2x + 0.50y ≥ 100

Answer explanation

Peter has $100 to spend on drinks for his party. Peter can spend less than or equal to $100.

Bottles of lemonade cost $2 each, and juice boxes cost $0.50 each.

x is the number of bottles of lemonade and y is the number of juice boxes, so

2x + 0.50y ≤ 100

Which inequality is represented by the graph below?

• y ≤ 2x − 3

• y ≥ 2x − 3

• y ≤ −3x + 2

• y ≥ −3x + 2