Solve Equations Algebra

x - 32 = 49

• x = 17

• x = 71

• x = 81

• x = 49

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

Describe the solution set:
2(x + 5) = 2x + 5

• one solution

• no solution

• infinitely many solutions

• two solutions

8|-2x + 4| = 96

• x = -4, x = 8

• x = -4

• x = -4, x = -8

• x = 4, x = 8

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear. They sell the teddy bears for $12 a piece. Which equation could be used to find the number of bears, x, the company has to sell in one day to equal its daily cost?

• 1500 + 8x = 12

• 12 + 8x = 1500

• 1500 + 8x = 12x

• 8x = 12x + 1500

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35

• .50x = 35

• .50 + 20x = 35 

• .50x - 20 = 35

Mary has been offered two jobs. Job A has a starting salary of $36,000 and a raise of $1500 every year. Job B has a starting salary of $29,000 and a raise of $2500 every year. Write an equation to determine how many years would Mary's salary be the same at both companies.

• 36,000x + 1,500 = 29,000x + 2,500

• 36,000 - 29,000 = 1,500x + 2,500x

• 36,000 - 1,500x = 29,000 - 2,500x

• 36,000 + 1,500x = 29,000 + 2,500x

Solve the equation:
-5x = 25

• x = 20

• x = -20

• x = -5

• x = 5

What would be the best first step to solving the equation?

• multiply both sides by 3

• multiply both sides by 4

• divide both sides by 3

• divide both sides by 4

Solve for x.

x - 8 = -5

• x = 13

• x = -13

• x = 3

• x = -3