Algebra Review

Molly needs at least 85% on the finals to get an A

• x < 85

• x > 85

• x ≤ 85

• x ≥ 85

Answer explanation

To get an A, Molly needs to score at least 85% on the finals. The correct choice is 'x ≥ 85' because it represents a score equal to or greater than 85%.

Tags

CCSS.6.EE.B.8

Dan has at least $15 in his pocket

• x < 15

• x > 15

• x ≤ 15

• x ≥ 15

Answer explanation

The correct answer is 'x ≥ 15' because the question states that Dan has at least $15 in his pocket.

Tags

CCSS.6.EE.B.8

Solve the equation: 3x + 5 = 17

• x = 4

• x = 10

• x = 2

• x = 6

Answer explanation

To solve the equation 3x + 5 = 17, subtract 5 from both sides to get 3x = 12. Then divide both sides by 3 to find x = 4. Therefore, the correct choice is x = 4.

Tags

CCSS.7.EE.B.4A

Solve the equation: 2(4x - 3) = 10

• x = 4

• x = 3

• x = 5

• x = 2.5

Answer explanation

To solve the equation, distribute 2 to the terms inside the parentheses: 8x - 6 = 10. Then, isolate the variable by adding 6 to both sides: 8x = 16. Finally, divide both sides by 8 to find x = 2. The correct choice is x = 2.5.

Tags

CCSS.7.EE.B.4A

Solve the inequality: 3x - 6 ≥ 6

• x ≥ 4

• x ≥ 6

• x ≥ 8

• x ≥ 10

Answer explanation

To solve the inequality 3x - 6 ≥ 6, we add 6 to both sides to isolate the variable. This gives us 3x ≥ 12. Dividing both sides by 3, we find x ≥ 4. Therefore, the correct choice is x ≥ 4.

Tags

CCSS.7.EE.B.4B

Find the slope of the line passing through the points (2, 5) and (4, 9).

• 2

• 10

• 7

• 3

Answer explanation

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by (y2 - y1) / (x2 - x1). In this case, the slope is (9 - 5) / (4 - 2) = 2. Therefore, the correct answer is 2.

Tags

CCSS.8.EE.B.5

Find the slope of the line passing through the points (-3, 7) and (5, -1).

• 2

• -1

• 0

• 6

Answer explanation

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by (y2 - y1) / (x2 - x1). In this case, the slope is (-1 - 7) / (5 - (-3)) = -8 / 8 = -1. Therefore, the correct answer is -1.

Tags

CCSS.8.EE.B.5

Solve the equation: |2x - 3| = 7

• x = 5 or x = -2

• x = 6 or x = -1

• x = 3 or x = -7

• x = 10 or x = -4

Answer explanation

The correct answer is x = 5 or x = -2 because substituting these values into the equation satisfies the absolute value condition and results in 7 on both sides.

Solve the equation: 4x - 7 = 3x + 2

• x = 9

• x = -4

• x = 5

• x = 12

Answer explanation

To solve the equation, we need to isolate the variable x. Subtracting 3x from both sides gives x - 7 = 2. Adding 7 to both sides gives x = 9. Therefore, the correct choice is x = 9.

Find the slope of the line passing through the points (3, 4) and (3, 8).

• 0

• 1

• 2

• undefined

Answer explanation

The slope of a line passing through two points is given by the formula (y2 - y1) / (x2 - x1). In this case, the x-coordinates of the two points are the same, which means the denominator is 0. Division by 0 is undefined, so the slope is undefined. Therefore, the correct answer is 'undefined'.

Tags

CCSS.8.EE.B.5