SAT Maths Practice Questions (1-5)

1. What is the solution to the equation 2x−6=8?

A) 1
B) 5
C) 7
D) 12

Answer: C) 7

Explanation:
To solve for x, first add 6 to both sides of the equation:
2x−6+6=8+6
2x=14
Next, divide both sides by 2:
x=14/2=7x
So, the solution is x=7

2. A rectangle has a length of 3x and a width of x+2. If the area of the rectangle is 35 square units, what is the value of x ?

A) 3
B) 5
C) 7
D) 9

Answer: B) 5

Explanation:
The area of a rectangle is given by length × width.
3x (x+2)=35
3×2+6x−35=0
Factoring the quadratic equation, we get:
(3x−5)(x+7)=0
Setting each factor to zero gives x=5/3 or x = −7x. However, x=−7, does not make sense in this context, so:
x=5

Thus, x=5 is the correct answer.

3. If y=3x+4 and x=2, what is the value of y ?

A) 5
B) 10
C) 6
D) 13

Answer: D) 10

Explanation:
Substitute x=2 into the equation y=3x+4
y=3(2)+4
y=6+4
y=10
Therefore, y is 10.

4. The average of four numbers is 20. If three of the numbers are 15, 25, and 10, what is the fourth number?

A) 10
B) 20
C) 30
D) 40

Answer: C) 30

Explanation:
The average of four numbers is 20, so the sum of the four numbers must be:
4×20=80
Summing the three known numbers:
15+25+10=50
Subtract this sum from the total sum to find the fourth number:
80−50=30
Thus, the fourth number is 30.

5. Solve for xxx in the equation 12x+3=7\frac{1}{2}x + 3 = 721​x+3=7.

A) 2
B) 4
C) 8
D) 10

Answer: C) 8

Explanation:
First, subtract 3 from both sides of the equation:
1/2x+3−3=7−3
1/2x=4
Next, multiply both sides by 2 to solve for x:
2×1/2x=4×22
x=8
Therefore, x=8 is the solution.

Practice More:

1. Digital SAT Practice Tests
2. Free Digital SAT Reading and Writing Test
3. SAT Maths Practice

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Whether you’re just beginning your SAT preparation journey or looking to sharpen your skills before test day, our Free SAT Practice Tests for Reading and Writing are an invaluable resource. So, let’s dive in and start mastering the skills you need to succeed on the SAT!