TSIA2 Boot Camp - Solving Linear Equations, Inequalities, & Sys

Multiple Choice

What is the value of x in 5x - 3 = 2x + 9?

• -3

• 2

• 4

• 6

Multiple Choice

If 12x = -8(10 - x), what is the value of x?

• 20

• 8

• -4

• -20

Open Ended

Explain the process of using backward solving to determine the value of x in the equation 12x = -8(10 - x). Why might this strategy be helpful?

Multiple Choice

If $$50-\frac{m}{2}=30$$ , then $$\frac{m}{5}+3=?$$

• 8

• 11

• 20

• 40

Multiple Choice

Which of the following equations is $$x=\frac{3}{4}$$ not a solution?

• 16x = 12

• $$\frac{1}{4}\div x=\frac{1}{3}$$

• $$4\left(x+\frac{1}{2}\right)=5$$

• $$\frac{x}{6}=\frac{1}{24}$$

Multiple Choice

Last year, a bookstore sold w books. This year, the bookstore sold three more than twice the number of books sold last year. If next year the bookstore plans on selling twice the number of books sold this year, how many books does the bookstore expect to sell next year?

• 2w

• 2w + 3

• 4w + 3

• 4w + 6

Open Ended

Explain how the FOIL method helps in expanding two binomials. Give an example to illustrate your explanation.

Multiple Choice

Simplify 2(x−4) + 9x.

• 3x

• 11x-4

• 3x-4

• 11x-8

Multiple Choice

Simplify (10)(x) - 6(x+3).

• 4x - 18

• 4x + 18

• 10x - 3

• 16x - 18

Multiple Choice

Which of the following is an equation for the line shown on the graph?

• $$y=\frac{3}{4}x+3$$

• $$y=-\frac{3}{4}x+3$$

• $$y=\frac{3}{4}x+4$$

• $$y=-\frac{3}{4}x+4$$

Multiple Choice

Sammi is selected to play in the 12Y baseball league. It is a 10 to 12-year-old youth league. If Sammi’s age is x, which statement is true?

• 10 > x ≥ 12

• 10 ≤ x ≤ 12

• 10 ≥ x ≥ 12

• 10 < x ≤ 12

Multiple Choice

The shaded region shown represents the solution to which inequality?

• y ≥ -2+3x

• y ≤ -2+3x

• y > -2+3x

• y < -2+3x

Multiple Choice

What is the solution to the system of linear equations below?

15x − 4y = 82

5x − 9y = 12

• (6, 2)

• (15, 4)

• (5, 9)

• (-6, -2)

Multiple Choice

Which point is NOT a solution to the system of inequalities graphed?

• (-0.5, 1.25)

• (-1, -2.50)

• (1.5, -0.75)

• (3, -2. 25)