Name_________________________________________________________
Test
1
Date __________
End-of-Course Test
Solve.
Answers
1. x − 7 = −13
2. 15 − 3c = 3
1.
3. One cell phone plan charges $20 per month plus $0.15 per minute used.
A second cell phone plan charges $35 per month plus $0.10 per minute
used. Write and solve an equation to find the number of minutes you
must talk to have the same cost for both calling plans.
4. a. Write the formula for the area of a triangle.
b.
h
c. The area of a triangle is 36 square inches.
c.
Use the new formula to find the height of
the triangle in inches and in centimeters.
12 in.
Find the slope and y-intercept of the graph of the linear equation.
Then sketch its graph.
5.
6. 2 x + 4 y = 6
y
−4 −3 −2
3.
4. a.
b. Solve the formula for h.
5. y = 3 x − 2
2.
3
2
2
1
1
O
See left.
y
3
1
2
3
−4 −3 −2
4 x
O
−2
−2
−3
−3
6.
1
2
3
4 x
See left.
7.
7. The equation 5 x + 2 y = 20 represents the cost for a family to attend
a play where x is the number of adults and y is the number of children.
Find the intercepts and interpret the meaning of each one.
Solve the system.
8. y = 3 x + 4
y − x = 2
9. y − 4 x = 3
2 y = 8x + 5
10. y = x 2 − 9
y = x+3
11. It costs $0.05 to send a text message and $0.10 to send a picture on
your cell phone. You spend $4 and send five more text messages than
pictures. How many text messages x and pictures y did you send?
8.
9.
10.
11.
Write an equation of the line in slope-intercept form.
12. the line passing through ( −1, 3) and ( − 4, 5)
12.
13. the line with slope − 2.5 and passing through ( 2, 1.5)
13.
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Name _________________________________________________________ Date _________
Test
End-of-Course Test (continued)
1
14. Recall that 0°C = 32°F and 100°C = 212°F.
Answers
a. Using x for degrees Celsius and y for degrees Fahrenheit, find
14. a.
an equation of the line passing through (0, 32) and (100, 212).
b.
b. What is the slope of the line? Explain what the slope means in
terms of degrees Celsius and degrees Fahrenheit.
c.
c. What is the y-intercept of the line? Explain what the y-intercept
means in terms of degrees Celsius and degrees Fahrenheit.
Determine the domain and range of the function.
15.
x
−2 −1
0
1
2
3
y
−3 −1
1
3
5
7
16.
17. The table shows the cost y
(in dollars) of x cold drinks.
a. Graph the data.
15.
−3 −2 −1
0
1
2
3
4
2
0
2
4
Drinks, x
0
2
4
6
Cost, y
0
3
6
9
x
y
16.
17. a.
b.
b. Is the domain discrete or continuous?
y
c.
c. Write a linear function that relates
d.
y to x.
18.
d. How much does it cost to buy three
19.
drinks?
x
Simplify the expression.
20.
⎛ 3a b ⎞
⎟
⎝ 2ab ⎠
22.
21x y
14 x 5 y 2
3
22.
23.
21. 64 2 3
− 7v + 5) − ( 2v 2 + 3v − 7)
23.
3x
12 x
÷ 2
x + 4x + 4 x − x − 6
2
(2 z
+ 3)
24.
2
25.
26.
3
24.
−2
19. ⎜
125
(3v 2
20.
21.
3 2
3
18.
See left.
25.
3
g
+
g
g −4
27.
Factor the polynomial.
26. s 2 − 14 s + 48
158 Big Ideas Math Algebra 1
Assessment Book
27. b3 − 49b
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Name_________________________________________________________
Test
1
Date __________
End-of-Course Test (continued)
28. A ladder is placed against the side of a house. The top of the ladder
Answers
is 12 feet above the ground. The base of the ladder is 5 feet away
from the house. Find the length of the ladder.
28.
29. a.
29. The data represent the weights (in pounds) of dogs at a dog show.
8, 30, 37, 42, 50, 45, 35, 32, 40, 40, 55, 90
a. Find the mean, median, and mode.
b.
See left.
30. a.
See left.
b.
See left.
b. Make a box-and-whisker plot for the data.
c.
d.
30. The table shows the number of years of college education and hourly
earnings (in dollars) for several people.
31.
Number of years, x
0
1
3
Hourly earnings, y
6
8
15 25 30
a. Make a scatter plot of the data.
5
6
y
b. Draw a line of fit.
32.
c. Write an equation for the line of fit.
d. Predict the hourly earnings for a person
with four years of college education.
x
Choose an appropriate display for the situation. Explain your
reasoning.
33.
31. The percent of students with 0, 1, 2, or more than 2 siblings
34.
32. The average movie theater ticket price over the last ten years
Write the word sentence as an inequality.
33. 3 less than a number t is at most 7.
34. A number m multiplied by 4 is greater than 12.
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Big Ideas Math Algebra 1
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159
Name _________________________________________________________ Date _________
Test
1
End-of-Course Test (continued)
Solve the inequality. Graph the solution.
35. x + 4 > − 6
Answers
36. 3 x − 2 ≤ 7
35.
See left.
37. If you spend at least $50 (including shipping) at an online store,
you receive a $10 gift card. You want to purchase CDs that cost
$12 each. If shipping costs $5, write and solve an inequality to
find the number of CDs you must buy to receive the gift card.
36.
See left.
37.
Solve the equation. Check your solution(s).
38. 2 x − 3 = 8
39. a 2 + 5a − 14 = 0
38.
40. r 2 + 4r − 16 = 0
41. 2 z 2 − 5 z + 1 = 0
39.
42.
x+ 4 −9 = 2
43.
3
x
=
x+5
x +1
40.
41.
Graph the function. Describe the domain and range.
1
3
44. y = ( x − 3) − 4
2
45. y = − x 2
43.
y
−8 −6 −4
y
8
8
6
6
4
4
2
2
O
2
4
6
8 x
−8 −6 −4
−4
46. y = −
O
−6
−8
−8
47. y =
x +1
4
6
8 x
1
+ 2
x −4
See left.
45.
See left.
46.
See left.
47.
See left.
y
8
8
6
6
4
4
2
2
O
2
44.
−4
−6
y
−8 −6 −4
42.
2
4
6
8 x
−4
−8 −6 −4
O
−6
−8
−8
Assessment Book
4
6
8 x
−4
−6
160 Big Ideas Math Algebra 1
2
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Name_________________________________________________________
Test
2
Date __________
End-of-Course Test
Solve.
Answers
1. r − 3.4 = − 5.8
2. −1 − 2c = 4
1.
3. One cell phone plan charges $17.50 per month plus $0.17 per minute
used. A second cell phone plan charges $32 per month plus $0.07 per
minute used. Write and solve an equation to find the number of
minutes you must talk to have the same cost for both calling plans.
4. a. Write the formula for the area of a triangle.
2.
3.
4. a.
Then solve for h.
b. The area of a triangle is 14.4 square inches.
h
Use the new formula to find the height of
the triangle in inches and in centimeters.
b.
4.5 in.
Find the slope and y-intercept of the graph of the linear equation.
Then sketch its graph.
5. y = 1.5 x + 1
6. 3 x + 5 y = 1
y
y
−4 −3 −2
4
4
3
3
2
2
1
1
O
1
2
3
4 x
−4 −3 −2
O
−2
−2
−3
−3
−4
−4
5.
See left.
6.
1
2
3
See left.
4 x
7.
7. The equation 3.50 x + 1.50 y = 21 represents the cost for a family to
attend a play where x is the number of adults and y is the number of
children. Find the intercepts and interpret the meaning of each one.
8.
Solve the system.
3
8. y = x + 2
2
1
1
y − x =
2
2
4
9. y − x = 2.5
3
3 y = 4x − 2
2
10. y = x + 5 x
y = 2 x + 10
9.
10.
11.
11. It costs $0.07 to send a text message and $0.12 to send a picture
on your cell phone. You spend $3.38 and send twice as many text
messages as pictures. How many text messages did you send?
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161
Name _________________________________________________________ Date _________
Test
End-of-Course Test (continued)
2
Answers
Write an equation of the line in slope-intercept form.
12. the line passing through (−1.5, 2) and (1, –1)
12.
13. the line with slope − 2 and passing through (3, 1)
13.
14.
Determine the domain and range of the function.
14.
x −2.5
−3
y
−1
0
1.2
2
−1
1
3
5
15.
x −1.5 −0.5
y
4
2
0
0.5 1.5
0
2
4
16. The input of one function is volume in liters. The input of another
function is number of cars. Which function has a continuous domain?
Explain.
17. The table shows the cost y
(in dollars) of x peaches.
a. Graph the data.
Peaches, x
0
4
8
12
Cost, y
0
3
6
9
b. Is the domain discrete or continuous?
15.
16.
17. a.
See left.
b.
c.
y
d.
c. Write a linear function that relates
18.
y to x.
19.
d. What is the cost of six peaches?
20.
x
Simplify the expression.
18.
20.
22.
( x 4 y −3 )
3
19.
( p2
22.
32a 2b −1
12a5b3
23.
24.
21. 1000 4 3
343
2
24.
−2
− p ) − (7 p 2 + 2 p − 1)
23.
2
c − 9 c − 6c + 9
÷
8c3
24c
(3n
− 1)
21.
2
25.
8
u −3
+
u +1
u
27.
f 3 + 14 f 2 + 49 f
25.
26.
27.
Factor the polynomial.
26. a 2 − 3a − 54
162 Big Ideas Math Algebra 1
Assessment Book
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Name_________________________________________________________
Test
2
Date __________
End-of-Course Test (continued)
Answers
28. A ladder is placed against the side of a house. The top of the ladder
is 24 feet above the ground. The base of the ladder is 7 feet away
from the house. Find the length of the ladder.
28.
29. a.
29. The data represent the weights (in pounds) of dogs at a dog show.
7, 30, 37, 40, 40, 50, 45, 35, 32, 40, 55, 90
a. Find the mean, median, mode, and range.
b. Make a box-and-whisker plot for the data.
b.
See left.
32. a.
See left.
30.
Choose an appropriate display for the situation. Explain your reasoning.
30. The percent of students who chose red, green, blue, yellow,
or another color as their favorite color
31. The average cost of a movie ticket over the last twenty years
32. The table shows the number of years of college education and hourly
earnings (in dollars) for several people.
3
5
31.
y
Years, x
0 1
6
Hourly earnings, y
6 9 15 26 31
a. Make a scatter plot of the data and
draw a line of fit.
b. Write an equation for the line of fit.
c. Predict the hourly wage for a person with
x
b.
four years of college education.
c.
Write the word sentence as an inequality.
33. 3.2 less than a number t is at most 7.5.
34. A number m multiplied by
4
12
is greater than .
7
5
33.
34.
35.
Solve the inequality. Graph the solution.
35. x + 2.5 > −4.3
36.
1
1
2
x + ≤
2
3
3
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See left.
36.
See left.
Big Ideas Math Algebra 1
Assessment Book
163
Name _________________________________________________________ Date _________
Test
End-of-Course Test (continued)
2
37. If you spend at least $50 (including shipping) at an online store, you
receive a $10 gift card. You want to buy CDs that cost $12.50 each.
If shipping costs $5, write and solve an inequality to find the number
of CDs you must buy to receive the gift card.
Solve the equation. Check your solution(s).
38. 3
x+4
= 27
z +5 + 4 = 6
38.
39. w − 25 = 0
39.
41. d 2 + 3d + 7 = 0
40.
43.
y
5
=
y + 4
y −3
41.
42.
Graph the function. Describe the domain and range.
44. y = − ( x + 5) − 2
2
45. y =
8
6
6
4
4
2
2
2
4
6
8 x
−8 −6 −4
O
−6
−6
−8
−8
x −3 +1
47. y =
2
4
6
See left.
46.
See left.
47.
See left.
8 x
y
8
8
6
6
4
4
2
2
O
45.
1
+3
x
y
−8 −6 −4
See left.
−4
−4
46. y =
44.
y
8
O
43.
3 2
x
4
y
−8 −6 −4
37.
2
40. x 2 + 6 x − 27 = 0
42.
Answers
2
4
6
8 x
−4
−8 −6 −4
O
−6
−8
−8
Assessment Book
4
6
8 x
−4
−6
164 Big Ideas Math Algebra 1
2
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