ACT Math : Expressions

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #2466 : Act Math

If  , then  equals?

Possible Answers:

Correct answer:

Explanation:

When substituting  for  in the provided equation, we get

,

which can be simplified to

, or .

Example Question #31 : Evaluating Expressions

Question 20

In which month has Abraham collected the most stamps?

Possible Answers:

May

October

April

November

July

Correct answer:

May

Explanation:

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 #2463 : Act Math

A company establishes a rewards program such that the bonus received by an employee is given by the model , where  is the number of sales an employee completed. If Alex earned $2700 at the end of the month, how many sales has he completed?

Possible Answers:

Correct answer:

Explanation:

Alex’s bonus of 

Example Question #32 : Evaluating Expressions

 , then 

Possible Answers:

Correct answer:

Explanation:

 . Thus

 

Example Question #71 : Expressions

Evaluate the folling expression given .

Possible Answers:

Correct answer:

Explanation:

To evaluate, simply plug in  for . Thus:

Example Question #971 : Algebra

What is the value of x when 2x - 7 =  -5x + 28

 

Possible Answers:

7

-5

5

-7

Correct answer:

5

Explanation:

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 #1 : Simplifying Expressions

If 4x – 6 = 18, what is 3x3 – 4x + 1?

 

Possible Answers:

300

625

-1

97

Correct answer:

625

Explanation:

   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 #1 : Simplifying Expressions

What is the value of z when 2z + 3 = 3z – 5?

 

Possible Answers:

1/8

4

8

-8

Correct answer:

8

Explanation:

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 #1 : How To Simplify An Expression

Given that 3x + 7 = 4x – 2, what is the value of x ?

Possible Answers:

1

5/7

9/7

9

Correct answer:

9

Explanation:

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 #1 : How To Simplify An Expression

If a = 4 and b =3 then:  2a2 + 3ab – 7  is?

 

Possible Answers:

37

61

73

– 2

Correct answer:

61

Explanation:

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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