PSAT Math Practice

Find the value of the variable using these steps.

0.4x + 3.9 = 5.78

1. Subtraction property of equality

2. Division property of equality

• 3.2

• 4.7

• 3.5

• 2.3

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the linear equation for x.

–4.8(6.3x – 4.18) = –58.56

• 2.1

• 4.2

• 5.3

• 2.6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

A group of friends are going to see the newest action movie. The price of a ticket is $6.25. As a group, they spent $12 on refreshments. If they spent a total of $30.75 on tickets and refreshments, how many people went to the movies?

Which equation represents the scenario?

• 6.25=30.75

• 2.65x+10x=30.75

• 12x=30.75

• 6.25x+12x=30.75

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

n a football tournament, the Bees scored 9 less than three times as many points as the Hornets. The Wasps scored 28 more points than the Hornets. Together the three teams scored 184 points. Let x represent the number of points scored by the Hornets.

Translate the scenario.

Hornets = x

• (Bees:x+28) (Wasp: 3x-9) (Equation: 4x- 20+3x=184

• (Bees:3x-9) (Wasp: x+28) (Equation: 4x- 20+3x=184

• (Bees:3x-9) (Wasp: x+28) (Equation: x+(3x-9)+(x+28)=184

• (Bees:3x-9) (Wasp: x+28) (Equation:(3x-9)+(x+28)=184

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

What is the solution to the inequality 3t + 9 ≥ 15 ?

• t ≥ 3

• t ≥ 1

• t ≥ 2

• t ≥ 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Which graph shows the correct representation of {x | x ≤ 5}?

• 
• 
• 
• 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

The art club has a budget of $350 for art supplies. The club has already purchased a display board for $125 and would like to buy several canvases. The canvases are $15 each. How many canvases can the club buy?Let x represent the number of canvases. Which inequality can be used to find x?

• 350 ≥ 125 + 15x

• 350 > 125 – 15x

• 350 ≤ 125 – 15x

• 350 < 125 + 15x

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Which values is a solution to 90 < –30p + 15?

• p=-10

• p=0

• p=-2.5

• p=3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

The inequality 10.45b + 56.50 < 292.67 is used to find the number of boxes (b) that can be loaded on a truck without exceeding the weight limit of the truck. The solution is written as {b | b < 22.6}. Which statement best describes the meaning of the solution?

• The truck can hold more than 22 boxes.

• The truck can hold more than 23 boxes.

• The truck can hold up to 22 boxes.

• The truck can hold up to 23 boxes.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

he temperature of magnesium must be at least 650 degrees for the metal to melt. A sample of magnesium is currently 255 degrees. The temperature of the magnesium is increased by 10 degrees every minute. Which inequality shows the number of minutes (m) needed to raise the temperature to the melting point?

• m > 39.5

• m > 87.5

• m ≥ 39.5

• m ≥ 87.5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3