WorksheetsUNIT 7-L2-Writing and Graphing Wquations in the Form y=mx+b
Total questions: 50
Worksheet time: 3hrs 49mins
Name
Class
Date
1.
What variable represents what slope is in the equation Y=mx+b
a)
Y
b)
M
c)
X
d)
B
2.
What two things do you need to know in order to WRITE an equation?
a)
The color of the line & the y intercept.
b)
The origin & the y-intercept
c)
A point on the graph & The slope
d)
The slope & the rise over run.
3.
The slope is 4/3. Explain where I move from my starting point.
a)
I go to the left 6 and to the right 8
b)
I go up 3 and to the left 4
c)
I go down 3 and to the left 4
d)
I go up 4 and to the right 3
4.
Find the slope between these two points.
(-1,4) & (3,7)
(-1,4) & (3,7)
a)
3/4
b)
4/3
c)
-3/4
d)
-4/-1
5.
Slope = 40/3
Which could NOT be an example of rate of change?
Which could NOT be an example of rate of change?
a)
You work for 40 hours and receive 3 breaks
b)
You help your uncle clean his house for 3 hours and earn 40 dollars.
c)
You get an allowance of 40 dollars every 3 weeks.
d)
You work for 40 hours take a break and then work for another 3 hours.
6.
You are really good at making CDs. At first 1 friend asks you to make him a CD. You come to school and 3 more friends want you to make them a CD. Every day 3 new friends ask you to make a CD. Write a linear equation to predict how many CDs you made after "X" many days.
a)
Y=3x+1
b)
x+3y=1
c)
Y= x+3
d)
x+y=3
7.
What does the "b" stand for in y=mx+b?
a)
slope
b)
x-intercept
c)
y-intercept
8.
What is the equation for the line that passes through the points (4,2) and (0,6)?
a)
y = x + 6
b)
y = -2x + 2
c)
y = -x - 6
d)
y = -x + 6
9.
What is the equation for the line with a slope of 7 and passes through (0,1)?
a)
y = -7x + 1
b)
y = 7x + 1
c)
y = -1/7x - 1
d)
y = -1/7x + 1
10.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
11.
Tim's high school played 14 football games this year. The team won most of their games. They were defeated during 2 games. Write an equation that could be used to find how many games they won.
a)
14 + x = 2
b)
x - 2 = 14
c)
x + 2 = 14
d)
14 + 2 = x
12.
Write an equation that could be used to find how many packs of DVDs you can buy with 168 dollars if one pack costs 12 dollars.
a)
168x = 12
b)
12x = 168
c)
12(168) = x
d)
12 / x = 168
13.
There were 39 bales of hay in the barn. Jason stacked more bales in the barn today. There are now 95 bales of hay in the barn. Write an equation that could be used to find how many bales did he stored in the barn.
a)
x + 39 = 95
b)
39 + 95 = x
c)
x + 95 = 39
d)
39x = 95
14.
Sally had 10 peaches left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 73 peaches at the stand. Write an equation that could be used to find how many peaches she picked.
a)
x + 10 = 73
b)
73 + x = 10
c)
10x = 73
d)
x - 10 = 73
15.
After eating at the restaurant, Mary, Jason, and Keith decided to divide the bill evenly. If each person paid 36 dollars, what was the total of the bill? Write an equation that could be used to solve this problem.
a)
3x = 36
b)
3/x = 36
c)
36x = 3
d)
x/3 = 36
16.
There are 34 pine trees currently in the park. Park workers will plant more pine trees today. When the workers are finished there will be 50 pine trees in the park. Write an equation that could be used to find how many pine trees they planted.
a)
50 + x = 34
b)
34 + x = 50
c)
x - 34 = 50
d)
34 - x = 50
17.
Mike found 77 seashells on the beach, he gave Fred some of his seashells. He has 15 seashell left. How many seashells did he give to Fred? Write an equation that could be used to solve this problem.
a)
15x =77
b)
x - 15 = 77
c)
15 + x = 77
d)
x + 77 = 15
18.
Mary has 24 books in her library. She bought several books at a yard sale over the weekend. She now has 58books in her library. How many books did she buy at the yard sale ? Write an equation that could be used to solve this problem.
a)
x - 24 = 58
b)
24 + x = 58
c)
58 + x = 24
d)
58 + 24 = x
19.
Last week Tim had 11 dollars. He washed cars over the weekend and now has 79 dollars. How much money did he make washing cars? Write an equation that could be used to solve this problem.
a)
11 - x = 79
b)
x - 11 = 79
c)
79 + 11 = x
d)
11 + x = 79
20.
Alyssa is baking a cake. The recipe calls for 7 cups of flour. She already put in 3 cups. How many more cups does she need to add? Write an equation that could be used to solve this problem.
a)
3 + x = 7
b)
7 + 3 = x
c)
3x = 7
d)
7x = 3
21.
Twice a number is 28. Write an equation that could be used to find that number.
a)
28x = 2
b)
2x = 28
c)
x/2 = 28
d)
2/x = 28
22.
The quotient of 39 and a number is 3. Write an equation that could be used to find that number.
a)
3/x = 39
b)
x/39 = 3
c)
39/x = 3
d)
x/3 = 39
23.
The cost for 6 months of Napster is $59.70. What is the cost for one month? Write an equation that could be used to solve this problem.
a)
6x = 59.70
b)
x/6 = 59.70
c)
59.70x = 6
d)
6/x = 59.70
24.
You and four friends go to Johnny Rockets. You all split the bill equally. Each person’s share was $6.50. How much was the original bill? Write an equation that could be used to solve this problem.
a)
6.5/x = 5
b)
x/5 = 6.5
c)
6.5x = 5
d)
5x = 6.5
25.
El Rodeo School has 837 students. El Rodeo School has 78 more students than Hawthorne. How many students are there at Hawthorne School? Write an equation that could be used to solve this problem.
a)
837 + 78 = x
b)
x - 837 = 78
c)
x - 78 = 837
d)
x + 78 = 837
26.
From the first quiz to the second quiz, a score dropped 8 points. The score on the second quiz was 39. What was the first quiz score? Write an equation that could be used to solve this problem.
a)
39 - 8 = x
b)
39 - x = 8
c)
x - 8 = 39
d)
8 - x = 39
27.
At Costco, 32 cans of Coke cost a total of $8.96. What is the cost per can? Write an equation that could be used to solve this problem.
a)
8.96x = 32
b)
32x = 8.96
c)
8.96/x = 32
d)
x/8.96 = 32
28.
A Lamborghini Murciélago has a top speed of 205 miles per hour. This is 7 miles per hour faster than the Ferrari F430. What is the top speed of the Ferrari? Write an equation that could be used to solve this problem.
a)
7x = 205
b)
x - 7 = 205
c)
205 + 7 = x
d)
x + 7 = 205
29.
Bob Loblaw is on a diet to lose weight. After losing 26 pounds, Bob weighs 231 pounds. What was Bob Loblaw’s weight before his diet? Write an equation that could be used to solve this problem.
a)
x - 26 = 231
b)
231 - x = 26
c)
231 + x = 26
d)
26 + x = 231
30.
You need the weight of your dog. On the scale together, you both weigh a total of 134 pounds. After putting the dog down, your weight is 105 pounds. What is the weight of the dog? Write an equation that could be used to solve this problem.
a)
134 + x = 105
b)
105 + x = 134
c)
134 + 105 = x
d)
x - 105 = 134
31.
Six more than some number equals 52
a)
6 + x = 52
b)
6 + 52 = x
c)
6x = 52
d)
6x + 52 =
32.
Translate this sentence into an equation.
106 is the product of Kerry's score and 4.
Use the variable z to represent Kerry's score.
106 is the product of Kerry's score and 4.
Use the variable z to represent Kerry's score.
a)
106z = 4
b)
106 = z + 4
c)
106 = 4z
d)
4 = 106z
33.
Translate the sentence into an equation:
The product of a number and two-thirds is 24.
The product of a number and two-thirds is 24.
a)
2/3 + x = 24
b)
2/3 x = 24
c)
3/2 x = 24
d)
x / (2/3) = 24
34.
Translate the sentence into an equation:
Four more than six times a number is 18.
Four more than six times a number is 18.
a)
10x = 18
b)
4x + 6 = 18
c)
4 + 6x = 18
d)
not enough info
35.
Translate the sentence into an equation.
Seven subtracted from n is 18
Seven subtracted from n is 18
a)
n + 7 = 18
b)
7 - n = 18
c)
n - 7 = 18
d)
n + 7 = 18n
36.
Translate the statement into an equation:
Five less than a number is 6
Five less than a number is 6
a)
n - 5 = 6
b)
5 - n = 6
37.
Translate the statement into an equation:
6 less than twice a number is 4
6 less than twice a number is 4
a)
2n - 6 = 4
b)
6 - 2n = 4
38.
Translate the statement into an equation:
Seven less than a number is 3
Seven less than a number is 3
a)
7 - n = 3
b)
n - 7 = 3
39.
Translate the statement into an equation:
The sum of 4 times a number and 8 is equal to 6 times the number.
The sum of 4 times a number and 8 is equal to 6 times the number.
a)
8 + 4 = 6
b)
8 + 4x = 6
c)
8 + 4x = 6x
d)
(8 + 4) ⋅ x = 6x
40.
Clean fast charges $2 per window plus a $15 fee. See Out charges $3 per window plus a $5 fee. When will their costs be the same?
a)
2+15x=3+5x
b)
2x+15=3x+5
c)
2x-15=3x-15
d)
2-15x=3-5x
41.
Which is right?
a)
75x+50=25x+70
b)
75x-50=25x-70
c)
75+50x=25+70x
d)
(75+50)x=(25+70)x
42.
Five less than the quotient of a number and 3 is -7.
a)
5 - x/3 = -7
b)
x/3 - 5 = -7
c)
x/3 + 5 = 7
43.
Two more than 4 times a number is -18.
a)
4x + 2 = -18
b)
2x + 4 = -18
c)
18 = 4x +2
44.
5 less than a number is 15.
a)
x - 5 = 15
b)
5 - x = 15
c)
15 - x = 5
45.
Translate the sentence into an equation
Four more than three times a number is 19.
Four more than three times a number is 19.
a)
3x - 4 = 19
b)
4 + 3x = 19
c)
7x = 19
d)
not enough information
46.
Translate the sentence into an equation:
The product of a number and two-thirds is 24.
The product of a number and two-thirds is 24.
a)
2/3 + x = 24
b)
2/3 x = 24
c)
3/2 x = 24
d)
x / (2/3) = 24
47.
eight more than a number is twenty
a)
8 + x = 20
b)
x + 20 = 8
c)
x- 20 = 8
d)
8 - x = 20
48.
Match the clue word with the operation:
SUM
SUM
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
49.
Match the clue word with the operation:
PRODUCT
PRODUCT
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
50.
Write the equation for the line.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
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