Midterm Review

Algebra II Regular Midterm Review Short Answer Simplify the given expression. 1.

4x + 73y

74x + 34y

2.

3. 4.

5.

6.

7. 8.

Write an equation in slope-intercept form for the line that satisfies the following condition.

2

passes through (26, 4), parallel to the graph of y = x + 5 Solve the given equation. Check your solution. 9.

31 = –20(y + 3)

10.

|m

11.

190.1m

1 | = 22 40 = 93.1m + 110

Simplify the given expression. Assume that no variable equals 0.

12.

13. 14. (x

Evaluate the given expression if x = 25, y = 10, w = 30, and z = 9. y) + 10wz

15. Graph the given relation or equation and find the domain and range. Then determine whether the relation or equation is a function. (2.1,4.3), (-1.6, 4.3), (-2.8,4.2), (-2.8,-1.5)

Solve the given inequality. Graph the solution set on a number line. 16.

4m

17.

|m|

2 < 7 or 6m + 2

4

4

18. Write an equation in slope-intercept form for the line that satisfies the following condition. slope 4, and passes through (5, 30) 19.

Evaluate the given expression if m = 65.

| 3m | Solve the system of inequalities by graphing. 20. x>2 y > 10 Solve each system of equations by using substitution. 21. 6x + 7y = 11 4x – 6y = 27 Solve the given inequality. Describe the solution set using the set-builder or interval notation. Then, graph the solution set on a number line. 22.

4.3

2p

0

23.

5(11m + 6)

24.

Find the slope of the line that passes through the pair of points (17, 11) and (9, 8).

25.

Graph the line that passes through (1, 5), parallel to a line whose slope is –0.5.

10

26. Graph the given relation or equation and find the domain and range. Then determine whether the relation or equation is a function. y = 8x

4

27. Graph the function f(x) = | x | + 2 Identify its domain and range. Find the value of the given expression. 28.

14

100

5

Solve the following system of equations by graphing. 29.

5 30. Find the x-intercept and the y-intercept of the graph of the equation equation.

Write a verbal expression to represent the given equation. 31.

2x = 2x+ 2

32.

Graph the function f(x) = [[x + 2]]. Identify its domain and range.

Simplify the expression using long division.

33. 34.

Graph the given inequality.

Express the given number in scientific notation. 35.

6136110

36.

Graph the function f(x) = 2x + 1. Identify its domain and range.

Simplify the expression using synthetic division.

37. Solve each system of equations by using elimination.

7 x + 7y = 17. Then graph the

38.

Graph each system of equations and describe it as consistent and independent, consistent and dependent, inconsistent, or none of these. 39.

40.

Write the equation 6y = 2x + 1 in standard form. Identify A, B, and C.