Answers AISD Algebraic Reasoning B Credit Recovery 2026-2027Unit Test

Solving Equations Answers

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Sandra makes and sells bracelets. It costs her $2 to make each bracelet, plus a one-time cost of $15 for supplies. She plans to sell each bracelet for $5. Let x represent the number of bracelets. Which equation can be used to find the number of bracelets she needs to sell to break even?

2 x minus 5 x = 15

2 x + 5 x = 15

2 x + 15 = 5 x

5 x + 15 = 2 x

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What is the value of x in the equation 2x – 3 = 9 – 4x?

–6

–3

The sum of three numbers is 131. The second of three numbers is seven more than twice the first. The third number is 12 less than the first. What equation can be used to solve the problem?

x + x + x = 131

x + (x + 7) + (x – 12) = 131

x + (2x + 7) + (x – 12) = 131

x + (2x + 7) – 12 = 131

The sum of three numbers is 45. The second of the three numbers is three more than twice the first number, x. The third number is two more than the first number, x. Which equation can be used to solve for the first number, x?

x + 5x + x + 2 = 45

x + x + 3 + x + 2 = 45

x + 3x + 2 + x + 2 = 45

x + 2x + 3 + x + 2 = 45

What is the solution to the equation ?

x = 12

x = 14

x = 16

x = 26

Rachna has nickels, dimes, and quarters in her piggy bank. She has $4.65 altogether. She has three more quarters than dimes and twice as many nickels as quarters. How many quarters does Rachna have?