Font size
WorksheetsAlg 1 Fall Final Exam Review
Total questions: 239
Worksheet time: 14hrs 0mins
What is the first step to solve this equation:
- 3x -11 = 44
Add 3 to both sides
Subtract 11 from both sides
Add 11 to both sides
Divide 3 on both sides.
What operation would you perform first and then second when solving for m in the following equation?
10 + 7m = 17
subtract 10, divide by 7
divide by 7, subtract 10
multiply by 7, add 10
add 10, multiply by 7
Solve for a:
-3a + 8 = 14
a = -2
a = -7.5
a = 2
a = 6
Solve for x:
2x - 3 = 1
x = 3
x = 2
x = 1
x = -2
Solve for x:
2x - 3 + 4x = 27
x = 12
x = 4
x = 5
x = 15
3(b - 4) = -3
Solve for x:
7(2x - 4) = 42
x = 5
x = 8
x = 2
x = 9
-11 + 3(b + 5) = 7
Solve for x:
2x -1(3+4x) = 11
x = -4
x = 7/3
x = -7
x = -17/8
Solve for a:
-8(-4+a) + 3(2a+1) = -19
a = 27
a = -27
a = 3.86
a = 1.67
Solve for k:
38 + 7k = 8(k + 4)
k = 6
k = 8
k = -6
k = 1
If chocolate chip cookies cost $3.00 per cookie plus $2 for boxing them up in a decorated box, what would the expression be?
3 + 2x
3x + 2
3x + 2x
5x
12 more than a number
12 + n
n - 12
12 > n
12 < n
A plumber charges $50 to make a house call plus $40 for each hour worked. What is the expression and what does he make if he worked 5 hours?
50x + 40; $290
50x + 40x; $450
50 + 40x; $250
90x; $450
What could this represent? 7x + 2 = 30
Buying pet turtles for $7 each plus two cans of turtle food cost $30.
Seven bags of candy plus 2 extra snickers bars equals 30 dollars.
Two yoyos plus seven frisbees is thirty cents.
Buying seven calculators plus $2 per bundle of pencils is $30.
Six decreased by twice a number.
2x - 6
6 < 2x
6 - x
6 - 2x
Your class won the donut party and when Ms. Byrd went to pick up the donuts she was happy to find out they gave her an educator discount of $3. Ms. Byrd spent $34.50 for donuts for your class of 25 students. How much was each donut?
$2
$1
$1.50
$2.50
If ChipCo sold their bags of corn chips for $5 per bag plus $1 for bagging it and it costs the same as $4 per bag of CrunchyChips corn chips plus their price of $2 for bagging it, what would the equation be and how many bags of chips would make them cost the same?
5 + 1x = 2x + 4; 1 bag of chips
9x = 3; 3 bags of chips
5x + 1 = 4x + 2; 1 bag of chips
5x = 6x; -1 bag of chips
Nine times the sum of a number and three
9 ( 3x )
9 ( x + 3 )
9 ( x - 3 )
9x (3)
If you went to Six Flags with your Algebra 1 class and Ms. Byrd said to bring at least $25.
x < 25
x < 25
x > 25
x > 25
What is the answer? 3 ( x - 2 )
3x - 2
3x - 2x
3 - 2x
3x - 6
| x + 3 | ≤ 2
No Solution
x ≤ -1
-5 ≤ x and x ≤ -1
1 ≤ x and x ≤ 5
| 2w - 1 | < 11
No Solution
w < 5
-5 < w and w < 6
-6 < w and w < 5
| -8x | < 8
What is the correct first step?
separate into two inequalities with an "and"
separate into two inequalities with an "or"
divide both sides by -8
add 8 to both sides
Is this an "and" or an "or" problem?
Solve x-2 < -8 or x/8 > 1
x < -6 or x > 8
x > -6 or x < 8
8 < x < -6
-6 < x < 8
How many solutions does the following equation have?
0 = -6|9v - 7|
no solution
one solution
two solutions
Solve for z
11 = 6|-2z|- 5
+4/3, -4/3
1/2, -1/2
-4/3, 1/2
5.5, -5.5
Solve for p
-6|-8p - 7| = -15
-19/16, -9/16
1/4, -3.5
9/16, -9/16
-19/16
How many solutions does the equation have?
-6|-r - 4| = -18
no solution
one solution
two solutions
Solve for k.
|k - 9| = 4
5, 13
-5, -13
5, -5
13
How many solutions does the equation have?
-4 = |-6v| - 4
no solution
one solution
two solutions
How many solutions does the equation have?
|c - 7| = 2
no solution
one solution
two solutions
How many solutions does the equation have?
-2 = |-w| - 8
no solution
one solution
two solutions
How many solutions does the equation have?
4|m| = -20
no solution
one solution
two solutions
How many solutions does the equation have?
-5 = |g+8|
no solution
one solution
two solutions
How many solutions does the equation have?
|-5c| = 0
no solution
one solution
two solutions
solve for z.
|-4z|=7
-7/4, 7/4
-7/4
11, 3
-11, -3
solve for g.
13 = 6|g| - 6
-19/6, 19/6
19/6
7/6,-19/6
3,-3
solve for b.
|b + 4| - 4 = 0
-8, 0
0
-8
1 , -1
solve for t.
|t - 8| + 4 = 11
1, 15
-23, 7
15
15, -15
R: {0, 1, 2, -4}
R:{-4, -3, 1}
R:{1, -3, -4}
R: {1, -3, -4, 1}
A relation where every input in matches with exactly one output is called what?
Relation
Linear
Exponential
Function
What is the test to determine if a graph represents a function?
Horizontal line test
Vertical line test
Heidelberg Uncertainty Test
Obi Wan Kenobi Test
The y- axis is the ___________________ number line in the coordinate plane.
Vertical
Diagonal
Horizontal
origin
In the table, Bubbles is the ______________.
independent variable
dependent variable
Sophie earned $5 for every A she got on her report card.
m = money
A = A on report card
The dependent variable is:
m = money
A = A on report card
Which of the following is the label for the independent variable.
Money Collected
Raising Money
Boxes Sold
None of the above
Jimmy earned $8 for every pizza he delivers.
m = money (dollars)
p = number of pizzas delivered
The dependent variable is:
m = money
p = number of pizzas delivered
Emma gets one sticker for every paper she completes.
s = stickers earned
p = papers completed
The independent variable is:
s = stickers earned
p = papers completed
Ty earns $12 per hour. Which of the following equations best represents how much money, m, he earns on a shift of h hours?
m = 12h
m = 12 + h
h = 12m
h = 12 + m
The graph shows the distance traveled by Ms. Luce's family on a road trip. They will travel 25 miles each hour. Which statement is true about the situation?
the independent variable is distance
the independent variable is d=25 t
the dependent variable is time
the dependent variable is distance
Ms. Shi is making a scrapbook. As she adds more photos, the scrapbook grows thicker.
p = the number of photos added
t = the thickness of the scrapbook
t is the independent variable and p is the dependent variable
p is the independent variable and t is the dependent variable
Each pizza at Pizza Hut, p, costs $5.50. Which of the following equations best represents the cost, c, of buying p, pizzas?
m = 5.50 + c
c = 5.50 + m
p = 5.50m
c = 5.50p
y=-2x-1
y + 2 = 3x
Function or Not a Function?
Function
Not a Function
Function or Not a Function?
Function
Not a Function
Hint: create the trend line first
R: {0, 1, 2, -4}
R:{1, -3, -4}
R:{1, -3, -4}
f(x) = 4x+5, what is f(4)?
21
-11
-31
25
What is f(x) = 2x+2 if f(x) = 2?
6
-8
10
0
Evaluate f(x) = x2 if f(-8).
64
-64
-16
16
If g(x) = x 2 - 4, find g(5).
6
1
21
-21
Which of the following function follows the form f(x) = mx + b?
exponential function
linear function
polynomial function
quadratic Function
What is the y-intercept of the equation:
y = 2x - 3?
-2
2
3
-3
It is a test used to determine if the graph of a relation is a function.
Horizontal line test
Post line test
Vertical line test
Hove line test
Which graph does not illustrate linear function?
A
B
C
D
The function f(m) = 2m + 3 represents the fare for a jeepney ride for m kilometers.
What does f(7) represent?
A fare of P7 to ride the jeepney
The fare to ride 7 kilometers
The minimum distance to ride a jeepney
The minimum fare of a jeepneyi
2x - y = 6
x+4y=7?
Graph
Graph
What is the range of the function?
- ∞ < y < ∞
3 ≤ y < ∞
-4 ≤ y < ∞
3 ≤ y ≤ 7
Which function has the greater maximum value?
f(x)
g(x)
Which of the following is true when
x = -2
f(x) > g(x)
f(x) < g(x)
f(x) = g(x)
f(x) + g(x) = 0
What is the domain for the Uber company?
-∞ < x < ∞
0 ≤ x ≤ 10
0 ≤ x ≤ 600
-∞ < x ≤ 600
What is the range for the Uber company?
-∞ < x < ∞
0 ≤ x ≤ 10
0 ≤ x ≤ 600
-∞ < x ≤ 600
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?
(4, -7); m = -1/4
(4, -7); m = -1/4
(-2, -3), (4, 3)
y - 4 = -1/3(x - 7),
what are the coordinates for the point?
(3, -5) and (5, - 1)
(3, -5) and (5, - 1)
(HINT: PARALLEL LINES HAVE THE SAME SLOPE)
(HINT: PERPENDICULAR LINES - FLIP AND SWITCH)
What type of correlation does the graph show?
Positive Correlation
Negative Correlation
No Correlation
What type of correlation does the graph show?
Positive Correlation
Negative Correlation
No Correlation
What type of correlation does the graph show?
Positive Correlation
Negative Correlation
No Correlation
Which type of correlation most likely represents the relationship between number of hours studied for an exam and the grade on the exam?
Positive Correlation
Negative Correlation
No Correlation
Which type of correlation most likely represents the relationship between distance traveled to school and number of shirts owned?
Positive Correlation
Negative Correlation
No Correlation
Which type of correlation most likely represents the relationship between amount spent on heating and temperature?
Positive Correlation
Negative Correlation
No Correlation
Which graph depicts the strongest positive correlation?
Which value represents the strongest negative correlation?
-0.7
-0.8
-0.83
-0.084
A positive correlation is a relationship between two variables such that as one variable decreases the other decreases.
True
False
A negative correlation is a relationship between two variables such that as one variable increases the other decreases.
True
False
Which variables are most likely positively correlated with temperature? Select ALL that apply.
sale of ice cream
number of boating accidents
sales of winter clothing
sales of televisions
Which variables are most likely negatively correlated with screen time? Select ALL that apply.
number of texts sent
amount of time asleep
amount of time playing video games
amount of time playing sports
97, 86, 75, 64, ...
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
9, 4, -1, -6, -11, ...
You can solve systems using these methods:
graphing, substitution, and elimination
rearranging, thinking, and guessing
only by graphing
Solve this system by substitution.
(1, -4)
(1, 4)
(-4, -7)
(-7, -4)
What variable do you eliminate?
4x + 8y = 20
−4x + 2y = −30
X because they have opposite signs
Y because they have opposite signs
What variable do you eliminate, and what do you multiply the equation(s) by?
5x + y = 9
10x − 7y = −18
You eliminate x, and multiply the top equation by 11
You eliminate y, and multiply the top equation by 7
3x - y = 7
2x + y = 3
−4x − 4y = 0
4x + 4y = 0
-4x - 6y = 6
4x + 6y = -4
Solve the following systems of equations using substitution:
x = 6
y = 2x - 3
(6, 6)
(6, 9)
(9, 6)
(9, 9)
Solve the following system:
4x−3y=18
(3, −2)
(3, 2)
(−2,3)
(2, 3)
3x - 6y > 12
-4x + 1/3y ≤ 5
What is the number of solutions to the system of equations?
No Solution
Infinitely Many Solutions
One Solution
Two Solutions
How many solutions are there in the system of equations?
No Solution
Infinitely Many Solutions
One Solution
Two Solutions
What is the solution to the system of equations?
No Solution
(2, 0)
Infinitely Many Solutions
(0, 2)
What is the solution?
8x + 4y = 12
y = -2x + 3
