Download Name _ Date Period 1 3 4 5 6 7 Semester 1 Exam Study Guide The

Name ___________________________ Date _________________ Period 1 3 4 5 6 7
Semester 1 Exam Study Guide
The date and time for my math exam is ______________.
1. What is the solution to the inequality 10x – 7 > 3x + 28?
2. Brianna had 5 rolls of dimes and 3 extra dimes. She used the equation
to find n, the number
of dimes she had altogether. Rewrite this equation so she can use it to find d, the number of dimes in
each roll.
3. What is the solution to the equation 4x – 7 – 9x = 13 + 5x?
4. Gale wants to buy some new clothes, but she cannot afford more than $95 before the sales tax is added.
The blouses she wants are priced $16 each and the pants she wants are priced $23 each. Write and solve
an inequality to be used to determine b, the number of blouses, and p, the number of pants Gale can
afford. After solving, draw a graph to represent the solution.
5. Use the expression to answer the questions:
i.
ii.
iii.
iv.
5x2 – 4x + 3
Name the term(s) of this expression.
Name the coefficient(s) of this expression.
Name the constant(s) of this expression.
True or False: 2 is the exponent of the term 5x.
6. The Cross Country Team is sponsoring a bake sale. If their goal is to raise at least $700, how many
cakes must they sell at $4.00 each in order to meet that goal?
i.
Write an inequality that represents this situation.
ii.
How many cakes must they sell in order to meet their goal?
iii.
Draw the graph of the solution to this inequality.
7. Julia bought a pair of shoes with a price of $150 from the catalog with 7% sales tax and a $10 shipping
fee. Calculate:
i. The amount she paid for sales tax
ii.
The total amount, including the sales tax and the shipping fee, that Julia paid for the
shoes was $180. What was the shipping fee, in dollars?
Name ___________________________ Date _________________ Period 1 3 4 5 6 7
8. Which number completes the following table? How did you determine your answer?
Input (x)
3
6
Output (y)
9
36
9
12
144
9. Raul is buying video games and he wants to spend $200 or less on his purchase. The type of games he
likes best, racing games, cost $52 each. Write an inequality that shows how many racing games he can
purchase.
10. What is the solution to the equation 3x + 5(4x – 6) – 8 = 3x – 14?
Graph the linear equation:
11.
12. List the coordinates of each point:
a)
______
g) ______
b) ______
h) ______
c) ______
i) ______
d) ______
j) ______
e) ______
k) ______
f) ______
l) ______
Name ___________________________ Date _________________ Period 1 3 4 5 6 7
Set up proportions to solve #12-15.
13. Convert 175 miles to feet. ____________________
14. Convert 80 feet to inches. ____________________
15. Convert 350 seconds to minutes. ____________________
16. Convert 30 minutes to seconds. ____________________
17. Convert 108 inches to yards. ______________________
Write the correct algebraic expression for each phrase.
18. 11 divided by x
____________________
19. triple a quantity decreased by 9 ____________________
20. ten less a number
____________________
21. twelve less than a number
____________________
22. seven times the sum of a number and three ____________________
23. 5 times a quantity dived by 10 ____________________
24. What is the solution to the equation 25 = 2x – 7?
Write an equation for each of the quantities being compared. Remember: is/was means equal.
25.
The length of a rectangle is 20 inches more than double the width.
Variable for length _____ Variable for width _____
26.
The value of the exports of Canada is triple the value of the exports of Mexico.
Variable for Canada _____ Variable for Mexico_____
27.
The cost of Hannah’s biology book was $15 more than the cost of her history book. The cost of her
English book was $5 less than the cost of her history book. (write 2 equations)
Variable for biology book_____ Variable for history book____ Variable for English book_____
28.
What is the solution to the equation 4x =
1
?
64
Name ___________________________ Date _________________ Period 1 3 4 5 6 7
Write the domain and range of the graph below using brackets and inequality notation.
29.
Domain __________________
30.
Range____________________
31.
Domain__________________
32.
Range__________________
33.
3x – 2 = 27
34.
108x - 5 = 1,000
Solve for the bolded letter.
35.
w = x + ym
36.
p = m- n
37.
e = fg
38.
y = mx+b
39.
Luc received $50 from his grandparents for his birthday. He makes $75 each week as a cashier
at the supermarket. Since his birthday, he has saved more than enough money to buy a game
system that costs $450. How many weeks ago was Luc’s birthday?
40. After purchasing the game system, will Luc have any money left over? How do you know?
41. The starting balance of Adam’s saving account is $575. Each month (m), Adam deposits $60.
Use function notation to write an equation to represent this situation.
Name ___________________________ Date _________________ Period 1 3 4 5 6 7
42.
What is the form of a linear equation?
43.
What does m represent in y=mx+b?
44.
What does b represent in y=mx+b?
45.
Which 2 variables don’t change in a linear equation?
46.
In the equation y = 2x – 9, what is the m?
47.
In y = 2x – 9, what is the b?
48.
In the equation y = -4x +3, what is the m?
49.
In the equation y = -4x +3, what is the b?
50.
How do you graph a linear equation?
51.
Explain how you would graph the equation y = -3x + 6.
52.
How do you find slope on a graph?
53.
How do you find the y-intercept on a graph?
54.
How do you find slope in a table?
55.
How do you find they-intercept in a table?
56.
How do you find slope in an equation?
57.
How do you find y-intercept in an equation?
Find the m and the b for each table shown below.
x
y
x
y
x
y
x
y
0
2
0
-1
0
-3
5
0
1
1
4
0
2
-3
5
1
2
0
-4
-2
4
-3
5
2
Match
graphs
below to59.
onemof=the
58.
m =the
___
b = ____
___equations
b = ____in the box.
60. m = ___ b = ____
61. m = ___ b = ____
equation: __________
equation: __________
equation: __________
equation: __________
Name ___________________________ Date _________________ Period 1 3 4 5 6 7
Match each graph to one of the equations in the box.
62. ________
65. ________
(a) y =
(g) x= 5
1
x–1
4
(b) y = x - 2
(h) y = -x + 2
63. ____________
64. _________
66. __________
(c) y =
67. _________
3
x – 4 (d) y = 3
4
(i) y = 4x - 1
(e) x = 3
(j) y = x + 1
(k) y =
4
x– 4
3
(f) y = 5
(l) y = x - 1
Match each table to one of the equations in the box.
x
5
5
y
-1
0
68. ________
x
0
4
y
3
3
69. ____________
x
0
2
y
2
0
70. _________