Answers SSCR 26 Math Essentials AAnalyzing Solutions

Analyzing Solutions Answers

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The expression on the left side of an equation is shown below.If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the equation?

–6

Negative 6 x

Negative 6 x + 6

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The expression on the left side of an equation is shown below.If the equation has no solution, which expression can be written in the box on the other side of the equation?

2(x + 4) – x

x + 8

4(x + 2) – 5x

Manuela solved the equation below.What is the solution to Manuela’s equation?

–8

no solution

infinitely many solutions

Dante wrote several equations and determined that only one of the equations has infinitely many solutions. Which of these equations has infinitely many solutions?

6 (x + 3) + x = 7 x + 2 + 1

6 (x + 3) + x = 7 x + 5

6 (x + 3) + x = 6 x + 3 + 15

6 (x + 3) + x = 7 x + 9 + 9

Jubal wrote the four equations below. He examined them, without solving them, to determine which equation has no solution.Which of Jubal’s equations has no solution?

7 x + 1 = 7 x+ 1

3 x + 2 = 3 x minus 2

4 x + 1 = 3 x + 8

negative 2 x minus 1 = negative 2 x minus 1

The expression on the left side of an equation is shown below.If the equation has no solution, which expression can be written in the box on the other side of the equation?

3 (x + 4)

2 (x + 6) + x

4(x – 3) – x

3 (x + 1) + 9 x

The equation below has one solution.What is the solution to the equation?

–2

–1

Leonardo wrote an equation that has an infinite number of solutions. One of the terms in Leonardo’s equation is missing, as shown below.Which could be the missing term that Leonardo put into the box?

Trina examined the equation below and said that the equation has exactly one solution.Which explains whether Trina is correct?

Trina is correct because the two sides of the equation are equivalent.

Trina is correct because the two sides of the equation are not equivalent.

Trina is not correct because the two sides of the equation are equivalent.

Trina is not correct because the two sides of the equation are not equivalent.

Jeremy wants to determine the number of solutions for the equation below without actually solving the equation.Which method should Jeremy use?

Determine whether the equation has the form , and if it does, the equation has infinitely many solutions.

Determine whether the equation has the form , and if it does, the equation has no solution.

Determine whether the equation has the form , and if it does, the equation has one solution.

Determine whether the equation has the form , and if it does, the equation has no solution.

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