A Review of Basic Algebra_ Graphs, Equations of Lines, and F

Exam: 050290RR - A Review of Basic Algebra; Graphs, Equations of Lines, and F

1. Write the numeral 0.034 in scientific notation.
A. 34 × 10–3
B. 0.34 × 10–1
C. 3.4 × 102
D. 3.4 × 10–2

2. A 152-foot piece of rope is to be cut into four pieces. Each successive piece is to be 2 feet longer than the previous one. Find the length of the shortest piece.
A. 40 feet
B. 37 feet
C. 35 feet
D. 38 feet

3. On the rectangular coordinate system, plot the point (–1, –2).
A. It is correct answer. Point will be in 4th quadrant.
B.
C.
D.

4. Simplify the expression .
A. 16/b16
B.
C.
D.

5. Complete the following table for the equation y = x + 3:
A.
B. Y = 2, 3, 8
C.
D.

6. Find the slope of the line determined by the equation 2x = y.
A. m = 2
B. m = 3
C. m = –2
D. m = –3

7. Find the slope-intercept equation of the line passing through (2, 1) with a slope of m = 3.
A. y − 1 = (3x − 2)
B. y = 3x − 5
C. y = 3x
D. y = 3x − 1

8. Given f(x) = 2x − 8, find f(3).
A. –3
B. –2
C. 2
D. 3

9. Draw the graph of the following linear function and give the domain and range:
h(x) = –2x + 3.
A.
B. Line passes through (0,3) and (1,1). Domain and range both are (-infinity, infinity)
C.
D.

10. Simplify the expression (–3)2.
A. 9
B. –6
C. 6
D. –9

11. Solve the following equation for q:
A. q = –2
B. q = –5
C. q = 2
D. q = 5

12. Find the slope of the line determined by the equation 6x − 3y = 18.
A. m = –2
B. m = 6
C. m = –6
D. m = 2

13. Graph the equation
A.
B.
C. Line passes through (0,1) and (3,1)
D.

14. 8/9 – 3/5 =
A. 13/45
B.
C.
D.

15. The function f(x) = x3 is called the _______ function.
A. quadratic
B. cubing
C. absolute value
D. squaring

16. Write the result of the following computation in scientific notation and perform the indicated operations:
A. 2 × 109
B. 2 × 10–9
C. 21
D. 42

17. Graph the function g(x) = (x − 1)3.
A.
B.
C. Curve passes through (1,0) and (2,1)
D.

18.
A.
B. 0
C.
D.

19. Graph the following set on a number line: {x|x ≤ –1}.
A. Square bracket means -1 is included
B.
C.
D.

20. Simplify the expression –3^2.
A. –9
B. –6
C. 9
D. 6

21. If the sum of the measures of two angles equals _______, the angles are called supplementary angles.
A. 180°
B. 360°
C. 90°
D. 270°

22. Solve the following equation for x:
5(x − 4) = 10
A.
B.
C. x=6
D.

23. Shifting the graph of an equation up or down is called a/an _______ translation.
A. Vertical
B. reflective
C. horizontal
D. inverse

24. Which one of the following equations represents the y-axis?
A. y = 0
B. x = –1
C. x = 0
D. y = –1

25. Find the midpoint of the line segment joining (4, 8) and (–2, –6).
A. (2, –2)
B. (–1, –1)
C. (1, 1)
D. (2, 2)