AnswersSSCR 26 Math Essentials ASolving Real-World Multistep Equations

Solving Real-World Multistep Equations Answers

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Tamara bought yarn for $39 and 2 pairs of knitting needles. Her total cost for the yarn and knitting needles was $69. Tamara writes an equation that represents the cost of each pair of knitting needles. If k represents the cost of each pair of knitting needles, which statements about verifying the value of k are true? Check all that apply.

A
Tamara should substitute into the equation .
Option A
B
After she substitutes the correct value for k into the equation, Tamara should find that the left side of the equation is equal to the right side.
C
Tamara should substitute into the equation .
Option C
D
After she substitutes the correct value for k into the equation, Tamara should find that the left side of the equation is not equal to the right side.
E
To verify the solution to the equation, Tamara multiplies the solution by 2 and then adds it to 39. Then, she checks that it is equal to 69.
F
To verify the solution to the equation, Tamara adds the solution to 2 and then adds it to 69. Then, she checks that it is equal to 39.
4

The Star television costs $750 more than the Jupiter television. The two models cost $2,600 all together. Sandra writes an equation to find the cost of the two models. If c represents the cost of the Jupiter television, which of the following would be true when verifying the solution of the equation? Check all that apply.

A
Sandra substitutes into the equation .
Option A
B
Sandra substitutes into the equation .
Option B
C
Sandra finds a true statement after substituting 925 into the equation.
D
Sandra finds a false statement after substituting 925 into the equation.
E
When Sandra evaluates the equation with c = 925, she subtracts 750 from 925. Then, she adds that sum to 925. She finds that the value is not equal to 2,600.
F
When Sandra evaluates the equation with c = 925, she adds 925 to 750. Then, she adds that sum to 925. She finds that the value is 2,600.

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