ACT Math : Expressions
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Example Questions
Example Question #31 : How To Evaluate Algebraic Expressions
If 
When substituting 
which can be simplified to
Example Question #971 : Algebra
In which month has Abraham collected the most stamps?
October
July
November
May
April
May
May corresponds to the month Abraham collected the most stamps, adding 24 to his collection. April, July, October, and November correspond to 18, 6, 21, 12, respectively.
Example Question #33 : How To Evaluate Algebraic Expressions
A company establishes a rewards program such that the bonus received by an employee is given by the model 
Alex’s bonus of
Example Question #31 : Evaluating Expressions
Example Question #32 : Evaluating Expressions
Evaluate the folling expression given 
To evaluate, simply plug in 
Example Question #1 : Simplifying Expressions
What is the value of x when 2x - 7 = -5x + 28
-5
7
-7
5
5
We need to solve for x. To do so, first move the x values to the left of the = sign and all other values to the right. 2x + 5x = 28 + 7. Then add like terms: 7x = 35. In order to get x all by itself, we then divide both sides by 7. X = 5.
Example Question #2 : Simplifying Expressions
If 4x – 6 = 18, what is 3x3 – 4x + 1?
-1
97
625
300
625
First we have to solve for x using the first equation:
4x-6 = 18
4x = 24
x = 6
Next, we have to plug in our value for x into the second equation:
3(6)3 – 4(6) + 1
3 (216) – 24 +1 = 625
Example Question #3 : How To Simplify An Expression
What is the value of z when 2z + 3 = 3z – 5?
-8
1/8
8
4
8
Solve one equation with one variable by moving the constants to one side of the equal sign and the variables to the other. 2z + 3 = 3z – 5 is solved by adding 5 -2z to both side of the equation and ending up with z = 8
Example Question #4 : How To Simplify An Expression
Given that 3x + 7 = 4x – 2, what is the value of x ?
9
9/7
1
5/7
9
First, we must solve the equation for x by subtracting 3x from both sides:
3x – 3x + 7 = 4x – 3x – 2
7 = x – 2
Then we must add 2 to both sides:
7 + 2 = x – 2 + 2
9 = x
Example Question #5 : How To Simplify An Expression
If a = 4 and b =3 then: 2a2 + 3ab – 7 is?
37
– 2
61
73
61
Substitute the values of a and b into the equation. Then
2a2 + 3ab – 7
(2 x 42 ) + (3 x 4 x 3) – 7
(2 x 16) + (36) -7
32 + 36 – 7
61
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