>= means greater than or equal to <= means less than or equal to ^ means the number is squared Some questions require you to graph equations. No graphs will be given. Currently a work in progress. I will update answers as the break continues. Work is shown first. Then the answer is at the bottom.

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Evaluate the expression.

2/3 ((5 + 2)^ - 13)

2/3 ((5 + 2)^ - 13)

2/3 (7^ - 13)

2/3 (49 - 13)

2/3 (36)

24

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Check whether the given number is a solution of the equation or inequality.

7x-11=17;4

7(4)-11=17

28-11=17

17=17

yes

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Check whether the given number is a solution of the equation or inequality.

9y + 3 < 13; 2

9(2) + 3 < 13

18 + 3 < 13

21 < 13

no

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Check whether the given number is a solution of the equation or inequality.

5z - 9 >= 7z - 11; -2

5(2) - 9 >= 7(5) - 11

10 - 9 >= 35 - 11

1 >= 24

no

### Solve, if possible. -3.1t + 4.3 = -1.9t + 3.7

-3.1t + 4.3 = -1.9t + 3.7

-4.3 -4.3

-3.1t = -1.9t - 0.6

+1.9t +1.9t

-1.2t/-1.2 = -0.6/-1.2

t = 1/2

### Solve, if possible. 3(4k - 2) = 16k -32

12k -6 = 16k -32

+6 +6

12k = 16k - 26

-16k -16k

-4k/-4= -26/-4

k = 13/2

### Solve, if possible. 1/3(9g - 6) = 3/5(5g + 15)

3g - 2 = 3g + 9

3g = 3g + 11

no solution/not possible

### A student can read 4 pages in 5 minutes. How many pages can the student read in 60 minutes.

4/5 = 60/x CROSS MULTIPLY

300/4 = 4x/4

x = 75

75 pages

### At your school, 74% of students bought their lunch at the cafeteria. There are 1250 students in the school. How many students bought their lunch.

1250(.74) = b

b = 925

925 students

### Plot point A(3, 6) on a coordinate plane and describe its location on the graph.

(3, 6) is in Quadrant I.

### Plot point B(-2, -4) on a coordinate plane and describe its location on the graph.

(-2, -4) is in Quadrant III.

### Plot point C(0, -3) on a coordinate plane and describe its location on the graph.

(0, -3) is on the x-axis.

### Find the slope of the line that passes through the points (4, 8) and (5, 13).

(13-8)/(5-4)

5/1

The slope is 5.

### Find the slope of the line that passes through the points (-3, 6) and (2, 7).

(7-6)/(2--3)

1/5

The slope is 1/5.

### Find the slope of the line that passes through the points (-8, -2) and (-5, -2).

(-2--2)/(-5--8)

0/3

The slope is undefined.

### The amount of water w (in thousands of gallons) flowing over a dams spillway varies directly with time t (in hours). In four hours, six thousand gallons of water flow over the spillway. Write a direct variation equation that related w and t. How many gallons of water will be released in twelve hours?

w = at

6 = 4a

3/2 = a

w = 3/2(12)

w = 18

w = 3/2t; 18 thousand gallons

### Write an equation in slope-intercept form that passes through the point (-1, 3) and has a slope of 2.

3 = 2(-1) + b

3 = -2 + b

5 = b

y = 2x + 5

### Write an equation in slope-intercept form that passes through the point (4, -3) and has a slope of 3/4.

-3 = 3/4(4) +b

-3 = 3 + b

-6 = b

y = 3/4x - 6

### Write an equation in slope-intercept form that passes through the point (2, -7) and has a slope of -5.

-7 = -5(2) +b

-7 = -10 + b

3 = b

y = -5x + 3

### Write an equation in standard form of the line that passes through the point (3, -7) and has a slope of -7.

y + 7 = -7(x - 3)

y + 7 = -7x + 21

y = -7x + 14

7x + y = 14

### Make a scatter plot using the points (0, 7), (2, 16), (4, 25), (6, 38), and (8, 50). Describe the correlation of the data.

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