Name: ______Period: ______Date:______

Midterm Review

Chapters 1-3

Chapter 1

1. Evaluate if x = 2.5 and y = –1.5.

Evaluate each expression if a = 3.5 and b = –10.

2. |–3 – a|–

3. Use I = prt, the formula for simple interest over t years, tofind I when p = $2000, r = 6%, and t = 18 months.

Name the property illustrated bythe equation in #4.

4. 3ab + ( –3ab) = 0

5. Simplify(10x– 15) + 4(2x– 5).

6. 7x– 10 = 4x + 11

7. |x– 4| – 5 = –2

8. The length of a rectangular garden is 7 feet longer than its width. The perimeter of the garden is 38 feet. Find the width and length of the garden.

For Questions 9-10, solve each inequality. Graph the solution set on a number line.

9. –7 < 9x + 2 < 11

10. 5n + 7 < 2 or 17 – 2n ≤ 11

11. |x – 5| > 3

12. |2x + 1| ≤ 9

Chapter 2

13. Find the domain and range of the relation {(0, 0), (2, 4), (–4, 0),(4, 0)}. Then determine whether the relation is a function.

Find each value if f(x) = –3x + 2 and g(x) = –4+ 2x – 3.

14. f(–2)

15. Write = 8y in standard form. Identify A, B, and C.

16. Find the x-intercept and the y-intercept of the graph of4y –12 = 3x.

For Questions 10–12, graph each inequality.

17. 3y ≤ 2x –9

18. y ≤ ⎪x + 1⎥

19. Find the slope of the line that passes through (2, 18) and(4, –2).

20. What is the slope of a line that is perpendicular to thegraph of y = ?

21. Write an equation in slope-intercept form for the line thathas a slope of –1 that passes through (–4, 3).

22. Write an equation in slope-intercept form for the line thatpasses through (2, –5) and is parallel to the line whoseequation is 5x + 2y = 6.

The table below shows the relationship between the number ofphone calls made and the number of tickets sold during a

fundraising campaign by 6 callers.

Calls Made (n) / 8 / 9 / 7 / 8 / 6 / 12
Tickets Sold (t) / 16 / 17 / 15 / 15 / 12 / 25

23. Draw a scatter plot for the data.

24. Use two ordered pairs to write a prediction equation.Then use your prediction equation to predict the numberof tickets sold when 16 calls are made.

25. Write out the definition and describe what the graphrepresents for a constant function, the identityfunction, an absolute valuefunction, or a piecewise function.

Chapter 3

Solve each system of equations or inequalities by graphing.

26. x + y = 5

2y = x –2

27. 2x –3y ≥ –3

3y –2x –6

Solve each system of equations by using elimination.

28. 5x + 2y = 1

2x + 3y = 7