Answer:
Statement A
Statement C
Explanation:
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 . 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
69 = 39 + 2k
69 = 39 + 2(15)
69 = 39 + 30
69 = 69
B. Tamara should substitute into the equation . 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.
C. 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.
2 × 15 = 30
39 + 30 = 69
D. 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.
Cost of Yarn = $39
2 Knitting needles = $2k
Total cost = cost of yarn + cost of 2 knitting needles
69 = 39 + 2k
69 - 39 = 2k
30 = 2k
k = 30/2
= 15
k = $15
Statement A and statement C are true