Algebra 2 Word Problems Algebraic Equations

Five less than twice a number is equivalent to 47. 

• 5 - 2x = 47 

• 2x - 5 = 47 

• 5x - 2 = 47 

• 2 - 5x = 47 

The sum of three consecutive integers is 147. Which equation can be used to find the first integer?

• 3x = 147

• x + 3 = 147 

• x + x + 1 + x + 2 = 147 

• x ⋅ x ⋅ x = 147 

The sum of four consecutive odd integers is equivalent to 232.  Which equation can be used to find the first integer? 

• 4x = 232 

• x + x + 2 + x + 4 + x + 6 = 232 

• x + x + 1 + x + 3 + x + 5 = 232 

• x ⋅ x ⋅ x ⋅ x = 232 

The larger of two numbers is two more than five times the smaller number. If the sum of the two numbers is 80, find both numbers.

WHICH EQUATION WOULD LET YOU FIND THE SMALLER NUMBER?

• x+2=80

• 5x+2=80

• x+5x+2=80

The larger of two numbers is two more than five times the smaller number. If the sum of the two numbers is 80, find both numbers.

• 11 and 57

• 20 and 105

• 16 and 70

• 13 and 67

The number of years that Mary has been on the volleyball team is 2 less than 5 times the number of years that Gina has been on the team. In all, the two girls have been on the team for 10 years. How long has Mary been on the team? WHICH EQUATION WILL ALLOW YOU TO ANSWER THIS QUESTION?

• 5x-2=10

• x+5x-2=10

• x-2=10

• 6x+2=10

The number of years that Mary has been on the volleyball team is 2 less than 5 times the number of years that Gina has been on the team. In all, the two girls have been on the team for 10 years. How long has Mary been on the team?

• 8 years

• 2 years

• 10 years

• 5.4 years

The length of a flat screen TV is 5 inches less than 3 times its width. If the perimeter of the TV is 150 inches, find the dimensions.

WHICH EQUATION WILL HELP YOU ANSWER THESE QUESTIONS?

• 2(x) + 2(3x-5)=150

• 2(x) + 2(3x+5)=150

• x + 3x-5=150

• 4x+5=150

Find two consecutive numbers whose sum is 115. WHICH EQUATION WILL FIND THE FIRST INTEGER?

• x+1=115

• x+x+1=115

• x-1=115

• 2x-1=115

Find two consecutive EVEN numbers whose sum is 126.

WHICH EQUATION WILL FIND THE FIRST INTEGER?

• x+x+2=126

• x+2=126

• 3x+2=126

• x+2=126=126