Solve Real Equations That Have Real Solutions

Which is a true statement about the system of equations graphed below?

• The system of equations does not have a solution because

  the lines do not intersect.

• The system of equations has one solution, although it is not

  visible on the graph.

• The system of equations has an infinite number of solutions.

• None of the statements above are true.

Jane is practicing solving systems of equations by inspection. She thinks that y = 5/6x + 2 and y = 5/6x – 2 would have exactly one solution. Is she correct? Why or why not?

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Which is the correct first step in solving the equation shown?

• Subtract 33 from both sides

• Add 33 from both sides

• Add 3.5 from both sides

• Multiply both sides by -3.5

Which is the correct first step to solve the linear equation shown?

• Add 2.5 to both sides

• Divide -2.5 from both sides

• Add 15 to both sides

• Subtract 15 from both sides

Which is the correct solution to the equation shown?

• x = 8

• x = -8

• x = 17.5

• x = 4.16

What is the solution to the following equation:

7x – 4 + x = -1 + 13x + 7

• 2

• -2

• 2/5

• -2/5

Which of the following shows the equation below after it has been simplified?

• 34=10x+14

• 34=8x+18

• 34=9x+14

• 34=10x - 14

Austin solved the equation as shown below. Which correctly describes the error that Austin made in his work?

• Austin did not combine 7x and 8x correctly.

• Austin did not combine -3 and -9 correctly.

• Austin did not divide correctly.

• Austin did not make an error in his work.

If the area of the rectangle shown is 88 square inches, which equation could be used to find the value of x?

• .3/4x +13=88

• 8 3/4 x + 5 = 88

• 17 1/2x +40=88

• 6x + 40 = 8 8

How many solutions does the following equation have:

7x – 4 + x = -1 + 13x + 7

• One solution

• Two solutions

• No solution

• Infinitely many: all real numbers