Download Algebra I Midyear Review

Algebra I Midyear Review – Mrs. Aichele
Name:
Evaluate.
1.) (3t )3  3 for t  2
2
3.) a  5a  6 for a  8
2.) 2d 3 y 2 for d  1 and y  3
Simplify each expression.
4.) 4(2c  3d )
7.) 5  9  6  2
5.) m(3m  6)  5m(m  3)  8
6.) 2(8  4 x)  5x  6  12 xy
8.) 2 6  9  3 10  5  8
9.) 5  2(6  32 )  12
10.) Order from least to greatest. Write your solution on the lines.
2,
11,
7
,  7, 4.2
2
_______ , ______ , ______ , _______ , ______
Solve each equation.
11.) 7m  4  8
12.) 3(5  x)  7  4 x
13.) 8(4  2 x)  16 x  32
14.) 3(a  5)  2(2a  1)  1
15.)
1
x5  7
4
3
6
16.)  x 
5
7
Solve for x.
17.) 4x  2b  12
Solve each inequality. Graph the solution set on a number line.
18.) 3( x  4)  9
19.) 2  5( x  4)  9
20.) 2 x  8  20
21.) 13  5x  3  22
Solve each absolute value equation. (Remember, you should get two solutions!)
23.) 2  2 x  1  10
22.) x  5  10
Identify the slope of the line that contains the two points.
24.) (-4, 6) and (9, -6)
25.) (9, -10) and (9, 12)
27.) (3,5) and (12,5)
26.) (-4, 5) and (-7, 8)
28.) (4, 8) and (4, -1)
Identify the x and y-intercepts of the equation.
29.) 3x  4 y  12
30.) 2x  8 y  24
x-intercept: ________
x-intercept: ________
y-intercept: ________
y-intercept: ________
Graph the following lines.
31.) x = 7
32.) 3 y  4 x  12
33.) 12 x  4 y  16
34.) Is (-5, 4) a solution to the equation y  6x  26? Why or why not?
35.) What is the slope of a line that is perpendicular and parallel to the line y  2  8( x  9) ?
Perpendicular:______
Parallel: ________
Graph each linear inequality on the graph provided.
36.) 3 y  8x 18
37.) 10x  4 y  8
38.)
Is (-8, 4) a solution to the inequality 5x  7 y  18 ? Why or why not?
2
39.) Let f ( x)  5 x  4 and g ( x)  2 x  3x
a.) Find f (8).
b.) Find g (4).
40.) Does the graph represent a function? Why?
41.) Given (1, 2), (3,9) , ( 1, 4), (0,8), (8,8), (1, 7)
a.) Is this a relation?
c.) What is the domain?
b.) Is it a function?
d.) What is the range?
42.) Use the graph to the right to answer the following questions.
a. How much money is earned if you sell 45
shirts?
b. How many shirts must you sell to earn
$40?
c. How many shirts must you sell to “break
even”?
d. Why is the y-intercept negative?
e. Write an equation for this function.
43.) Write an equation of a line that goes through the points (-8, 4) and (6, -24).
44.) Write an equation of a line in point-slope form that is perpendicular to the line y 
through the point (4, -3).
4
x  7 that goes
5
45.) Write an equation of the line in slope intercept form.
2 x  2 y  36
46.) Solve the system. 
5 x  y  36
4 x  2 y  6
47.) Solve the system. 
4 x  4 y  36
Multiple Choice
1. Which expression represents the perimeter of the triangle below?
A. 4m  3
B. 6m  3
C. 4m  5
D. 6m  5
2. Ava’s class was surveyed to help figure out what color their
school banner should be. If a total of 28 students were
surveyed, how many chose green?
A. 4 students
B. 6 students
C. 7 students
D. 10 students
5%
7%
13%
50%
25%
3. Which of the following pieces of information can be obtained from a box-and-whisker plot?
A.
B.
C.
D.
the mean of a data set
the number of values in the data set
the median of the data set
the mode of the data set
4. What is the perimeter of this rectangle?
A. w3  18
B. 2w2  2w  36
C. w2  w  18
D. w3  5w2  13w  65
5. What is the median of the scores shown in the stem-and-leaf plot?
A. 62
B. 80
C. 85
D. 97
6. Find the {mean, median, and mode} of the following data set.
23, 27, 20, 50, 20
A. {20, 28, 23}
B. {23, 28, 20}
C. {28, 20, 23}
D. {28, 23, 20}
7. A standard number cube is rolled. What is the probability of rolling a number less than or equal to 4?
A.
1
6
B.
1
3
C.
1
2
D.
2
3
8. A bag contains 8 red marbles, 7 blue marbles, and 5 white marbles. Which expression can be used to find
the probability of randomly selecting a white marble and then a red marble from the bag, without
replacement?
A.
5 8

20 20
B.
5
8

20 20
C.
5 8

20 19
9. Which equation describes the relationship between x and y?
A. y  2 x  4
B. y = -2x + 4
1
C. y   x  2
2
1
D. y  x  6
2
D.
5
8

20 19
x
y
-5
14
-1
6
2
0
4
-4
Use the box and whisker plot to answer the questions # 10-14
Math Teacher Ages
10. What is the range of teachers’ ages?
A. 34
B. 80
C. 20
D. 40
C. 40
D. 26
11. Which of the following statements is true?
A.
B.
C.
D.
Half the teachers are under 26.
50% of the teachers are in their 40’s.
75% of the teachers are under 43.
the oldest teacher is 21.
12. The inter-quartile range of the data is
A. 17
B. 9
13. All points to the right of the lower quartile represent
A. 25% of the data
B. 50% of the data
C. 75% of the data
D. 100% of the data
C. 34
D. 43
14. The median age of the teachers is
A. 20
B. 26
Word Problems
1.) Five times a number is equal to three times the number increased by twelve. Find the number.
2.) One babysitter charges $12/hour. Another babysitter charges $10 per job plus an hourly rate of $7/hour.
After how long will the two babysitters make the same amount?
3.) You join an aerobics class at the local gym. The cost is $3 per class plus $10 for the initial membership fee.
Write an equation that shows the relationship between the number of class n you attend and the amount you pay
p. Then, determine the cost to attend 13 classes.
4.) The length of a rectangle is 4 cm more than the width. The perimeter of the rectangle is 140 cm. Find the
length and width of the rectangle.
5.) An amusement park charges $15 for admission and $0.75 per ride. You go to the park with $32.50. Write
an inequality that represents the possible number of rides you can go on. What is the maximum number of rides
you can go on?
6.) One number is 7 less than another number. The sum of the two numbers is 63. Find the number.