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More Lessons for ACT Math

Math Worksheets

Videos, examples, solutions, activities and worksheets to help ACT students review some intermediate algebra questions.

**ACT Math Test: Elementary Algebra Problem**

Here's an elementary algebra problem for you to try.

Example:

If x^{2} = 81 and y^{2} = 25, which of the following is a possible value of x + y?

A. -15

B. -4

C. 10

D. 18

E. 106

**ACT Math Video Solution #2**

Factoring a quadratic

Example:

Which of the following is a factor of p^{2} - 4p - 12?

A. p + 6

B. p - 4

C. p + 3

D. p - 2

E. p - 6

**ACT Mathematics Elementary Algebra Problem**

This question asks you to find an expression to describe the relationship between two variables.

Example:

Jack is a newborn baby who spends 60% of his time sleeping. Out of the other 40% of his time, 60% is spent either eating, burping, or having his diaper changed. What percent of Jack's total time is left for playing?

A. 0%

B. 16%

C. 20%

D. 24%

E. 40

**Hours Worked {ACT - Elementary Algebra}**

Example:

A consultant charges $45 for each hour she works on a consultation, plus a flat $30 consulting fee. How may hours of work are included in a $210 bill for a consultation?

F. 2 4/5

G. 4

H. 4 2/3

J. 5 1/2

K. 7

**Combining Like Terms {ACT - Elementary Algebra}**

Example:

t^{2} - 59t + 54 - 82t^{2} + 60t is equivalent to:

F. -26t^{2}

G. -26t^{6}

H. -81t^{4} + t^{2} + 54

J. -81t^{2} + t + 54

K. -82t^{2} + t + 54

**Consecutive Integers {ACT - Elementary Algebra}**

Example:

The 6 consecutive integers below add up to 447.

x - 2

x - 1

x

x + 1

x + 2

x + 3

What is the value of x?

F. 72

G. 73

H. 74

J. 75

K. 76

**Consecutive Odd Integers {ACT - Elementary Algebra}**

Example:

m, n, and p are three consecutive positive odd integers such that m < n < p. If their sum is 45, what is the value of mp?

A. 30

B. 90

C. 195

D. 221

E. 224

More Lessons for ACT Math

Math Worksheets

Videos, examples, solutions, activities and worksheets to help ACT students review some intermediate algebra questions.

Here's an elementary algebra problem for you to try.

Example:

If x

A. -15

B. -4

C. 10

D. 18

E. 106

Factoring a quadratic

Example:

Which of the following is a factor of p

A. p + 6

B. p - 4

C. p + 3

D. p - 2

E. p - 6

This question asks you to find an expression to describe the relationship between two variables.

Example:

Jack is a newborn baby who spends 60% of his time sleeping. Out of the other 40% of his time, 60% is spent either eating, burping, or having his diaper changed. What percent of Jack's total time is left for playing?

A. 0%

B. 16%

C. 20%

D. 24%

E. 40

Example:

A consultant charges $45 for each hour she works on a consultation, plus a flat $30 consulting fee. How may hours of work are included in a $210 bill for a consultation?

F. 2 4/5

G. 4

H. 4 2/3

J. 5 1/2

K. 7

Example:

t

F. -26t

G. -26t

H. -81t

J. -81t

K. -82t

Example:

The 6 consecutive integers below add up to 447.

x - 2

x - 1

x

x + 1

x + 2

x + 3

What is the value of x?

F. 72

G. 73

H. 74

J. 75

K. 76

Example:

m, n, and p are three consecutive positive odd integers such that m < n < p. If their sum is 45, what is the value of mp?

A. 30

B. 90

C. 195

D. 221

E. 224

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