CST ALGEBRA REVIEW Worksheet #1 (20 Points)

Name: ______Period: ___ Date: ______

CST ALGEBRA REVIEW Worksheet #2 (20 Points) You must show the work/give a complete explanation for credit!

1. When is this statement true? 4. What does the graph of “The opposite of a number is less than y = 2x −2 look like? the original number.” A This statement is never true. Slope = B This statement is always true. y-intercept= C This statement is true for positive numbers. Graph: D This statement is true for negative numbers.

Show how you came to your conclusion:

5. Which inequality does the shaded region of the graph represent? 2. What is the y-intercept of the graph of y 4 x + 2 y = 12 ? 6

0 x -6 -4 -2 0 2 4 6

3. What is the equation for the inequality -4 shown on the graph below? -6 y 6

4 A 3x+y ≤2 B 3x+y ≥2 2 C 3x+y ≤−2

0 x D 3x+ y≥−2 -6 -4 -2 0 2 4 6

-2 Slope of the graph shown = y-intercept of the graph shown = -4

-6 Name: ______Period: ___ Date: ______

6. Which equation best represents the graph below? 9. Which point lies on the line defined by

y 3x + 6y = 2? 6 A (0,2) 4 B (0,6) 1 2 C (1,- ) 6 0 x 1 -6 -4 -2 0 2 4 6 D (1,- ) 3 -2

Slope = 10. What is the slope-intercept equation of y-intercept = the line that has a slope of 4 and passes through the point (3, -10) ? equation: ***you have m = 4, x = 3, and y = -10. You need to find b and plug it in to y = mx + b 7. What equation represents the line shown in the graph below?

0 x -6 -4 -2 0 2 4 6 11. The data in the table show the cost of -2 renting a bicycle by the hour, including

-4 a deposit. If hours, h, were graphed on the horizontal axis and cost, c, were -6 graphed on the vertical axis, what would be the equation of a line that fits Slope = the data? y-intercept = Hours A c =$5h equation: 1 B c = h + 5 5 C c = 5h + 5 8. What is the x-intercept of the line D c = 5h - 5 defined by −2x+3y = 12? 2 15 ***hint: to find the x-intercept, plug in zero for y and solve for x Name: ______Period: ___ Date: ______

5 30 8 45