PSAT Math 2024

What is the value of x if 2x + 5 = 17?

• x = 10

• x = 6

• x = 15

• x = 8

Answer explanation

To find the value of x, we need to isolate x in the equation. Subtracting 5 from both sides gives 2x = 12. Dividing by 2, we get x = 6. Therefore, x = 6 is the correct answer.

Tags

CCSS.7.EE.B.4A

Simplify: 3(2x - 4) = 18

• x = 8

• x = 3

• x = 5

• x = 6

Answer explanation

To solve the equation, first distribute the 3: 6x - 12 = 18. Then, add 12 to both sides: 6x = 30. Finally, divide by 6 to find x = 5.

Tags

CCSS.7.EE.B.4A

If a rectangle has a length of 8 and a width of 4, what is its perimeter?

• 32

• 16

• 24

• 12

Answer explanation

To find the perimeter of a rectangle, you add up all the sides. In this case, 8 + 8 + 4 + 4 = 24. Therefore, the correct perimeter is 24.

Tags

CCSS.8.EE.C.7B

What is the slope of the line passing through the points (2, 4) and (6, 10)?

• 1.5

• 4

• 3

• 2.5

Answer explanation

The slope of a line passing through two points (x1, y1) and (x2, y2) is (y2 - y1) / (x2 - x1). Therefore, the slope is (10 - 4) / (6 - 2) = 6 / 4 = 1.5.

Tags

CCSS.8.EE.B.5

If 3x + 7 = 16, what is the value of x?

• 10

• 5

• 2

• 3

Answer explanation

To find the value of x, subtract 7 from both sides of the equation 3x + 7 = 16. This gives 3x = 9. Then, divide by 3 to get x = 3. Therefore, the correct value of x is 3.

Tags

CCSS.7.EE.B.4A

Solve for y: 2y - 5 = 11

• y = 13

• y = 10

• y = 8

• y = 6

Answer explanation

To solve for y, add 5 to both sides of the equation: 2y = 16. Then divide by 2 to get y = 8. Therefore, y = 8 is the correct answer.

Tags

CCSS.7.EE.B.4A

What is the area of a triangle with base 6 and height 8?

• 12

• 24

• 30

• 14

Answer explanation

The area of a triangle is calculated using the formula: (base * height) / 2. Substituting the values, we get (6 * 8) / 2 = 24. Therefore, the area of the triangle is 24.

Tags

CCSS.8.EE.C.7B

If 4x - 3 = 13, what is the value of x?

• 7

• 6

• 4

• 5

Answer explanation

To find the value of x, we need to isolate x in the equation 4x - 3 = 13. Adding 3 to both sides gives 4x = 16. Dividing by 4, we get x = 4. Therefore, the correct value of x is 4.

Tags

CCSS.7.EE.B.4A

Simplify: 5x + 2(x - 3) = 4

• x = -2

• x = 7/5

• x = 10/7

• x = 5/3

Answer explanation

To simplify, distribute 2 into (x - 3) to get 5x + 2x - 6 = 4. Combine like terms to get 7x - 6 = 4. Add 6 to both sides, then divide by 7 to find x = 10/7.

Tags

CCSS.8.EE.C.7B

What is the value of y if 3y + 9 = 24?

• 12

• 7

• 5

• 10

Answer explanation

To find the value of y, first subtract 9 from both sides of the equation: 3y = 15. Then, divide by 3 to get y = 5. Therefore, the value of y is 5.

Tags

CCSS.7.EE.B.4A