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Total questions: 153
Worksheet time: 13hrs 49mins
-7(6 + d) = 49
What is the Range?
y ≥ 6
y≤6
-10 ≤ y ≤ 6
-10 ≤ x ≤ 6
23x =6 solve for x
4
3
12
2
7x+8=29
The first step to solve this equation is to (a) . The next step is to (b) . The answer is (c) .
Which of the graphs represents the linear inequality y>21x+3 ?
Which of the graphs represents the linear inequality y≤−x−4 ?
Solve
-8x < 48
x < -6
x > -6
x < 6
x > 6
x + 5 ≤ 13
A=1200(.85)6
A=10(1.01)3
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
Write an equation in slope-intercept form:
Slope = 83
y−intercept = (0, −1)
y = 83x − 1
y = 83x + 1
y = 1x + 83
y = 1x − 83
Write the equation for the graph shown.
y = 12x + 9
y = −21x − 9
y = −12x + 9
y = 21x + 9
A photographer has already taken 10 pictures. She takes an additional 3 pictures per hour.
y = 10x + 3
y = 3x + 10
y = 3x − 10
Gil has $200 saved for snacks. He will spend $5 on snack per week until he runs out.
y = 200−5x
y = 5x + 200
y = −200x + 5
Solve the equation.
(a)
Give the solution to the system
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20
5d = 2d - 18
-2d -2d
3d = -18
d = 6
5(2x - 1) + 7 = 4x + 11
(x³-2x²+3)+(2x³+3x²-1)
(3x²-3x+2)-(x²-2x+1)
A
B
C
D
What is the first step in solving this equation?
subtract 3 to both sides
subtract the 6 - 2
distribute 2
distribute -2
97=−3(6n−5)−8
−10
16
−5
−2
2(4x-3) - 8 = 4 + 2x
Does the following equation have one solution, no solutions, or infinitely many solutions?
2x + 4 = 2x + 4
One
None
Infinite
This cannot be determined
Does the following equation have one solution, no solutions, or infinitely many solutions?
5x + 4 = 2x + 4
One
None
Infinite
This cannot be determined
Does the following graph have one solution, no solutions, or infinitely many solutions?
One Solution
No Solutions
Infinitely Many Solutions
8x + 4y = 12
y = -2x + 3
How many solutions?
x-2y=1
x+4y=7
Solve for x:
8x - 10 = -34
4
3
-3
-24
(3 - 2x + 2x2) - (4x - 5 + 3x2)
The graph of f(x)= x2 was transformed to create the graph of g(x) = (x - 7.5)2. Which of these describes the transformation?
A horizontal shift to the right 7.5 units
A horizontal shift to the left 7.5 units
A vertical shift down 56.25 units
A vertical shift up 56.25 units
The graph of a quadratic function is shown on the grid.
Which function is best represented by this graph?
h(x)=x2−3x−9
h(x)=x2+3x−9
h(x)=x2−6x
h(x)=x2+6x
What are zeros?
x-intercepts
roots
solutions
Which graph represents a function?
A
B
C
D
What is the domain of this function?
-3 < x < 3
-4 < x < 4
-3 ≤ x ≤ 3
-4 ≤ x ≤ 4
Let x be any real number.Then the statement 𝑥3 > 0 is true for
x > 0 only.
x < 0 only.
no values of x.
all real values of x.
Which expression is equivalent to (2x-5)-(3x-8)?
-x-13
-x+3
2x-16
5x-3
Which of the following situations is best represented by a linear function?
The amount Jeremy tips at a restaurant is a function of the total bill. He tips 15% of the total bill.
The area of a square is a function of the length of the side of the square.
The distance a ball travels after being dropped is a function of acceleration and time. The distance is one-half of the acceleration multiplied by the square of the time.
The length of the side a a rectangle with an area of 48 is a function of the width of the rectangle.
Which equation represents the line passing through the points (-2, 4) AND (2, 8)?
y=-x+2
y=-x+6
y=x+4
y=x+6
The cost of renting a table at a flea market is based on a fixed price per day plus an initial registration fee. If it costs $45 to rent a table for one day and a total of $90 to rent a table for four days, which of the following equations represents the total cost (c) to rent a table at the flea market for d days?
c=15(d+30)
c=15d+30
c=15d+45
c=15(d+45)
A tour boat leaves the dock and travels to the wildlife park at 7 miles per hour (mph) for x hours. The return trip to the dock takes y hours at 15 mph. The boat ride takes a total of 3 hours.
Which system of equations best represents this situation?
x + y = 3
7x = 15y
x = y
7x = 15y
x + y = 3
7x + 15y = 3
x = y
7x + 15y = 3
Each graph represents an equations of the form y=ax2. Which graph represents the equation with the greatest value for a?
A
B
C
D
Population A is 800. It grows by 5% each month. Population B is 500. It grows by 20 each month. Which set of statements correctly describes the growth of both populations.
Population A is linear.
Population B is exponential.
Population A is exponential.
Population B is linear.
Population A is exponential.
Population B is exponential.
Population A is linear.
Population B is linear.
Which situation must have a linear relationship?
The number of bacteria in a sample doubles each hour.
The amount of money earned daily on a school fundraiser increased the first week and decreased the second week.
The total cost of stamps given that each stamp costs 48¢.
The amount of radiation coming from a sample, given that the amount of radiation decreases by half each hour.
Larry's Dairy sells butter to a local grocery. The equation y = 2.4x can be used to model the relationship between the value of butter and the weight of the butter they sell. They can sell any amount of butter, up to 30 pounds. Which statement is true?
The equation has 30 solutions.
The equation has no solutions.
The equation has 2.4 solutions.
The equation has infinite solutions.
The height (h), in meters, of an item in d days can be modeled using the equation h = 3( ⅚ ) d . What does the fraction ⅚ represent in this equation?
The final height of the object is ⅚ meters.
The starting height of the object is ⅚ meters.
The height of the object is multiplied by ⅚ each day.
The height of the object increases by ⅚ meters each day.
The slopes of parallel lines are...
the same
opposite
always different
(6,7) and (4,2)
m = 3/4
What is the slope of a line perpendicular to 5?
5
1/5
-1/5
-5
43
415
13
115
5x - y = 16
Combine (x2 + 2x - 4) - (5x2 - 3x - 1)
-4x2 + 5x - 3
6x2 + 5x - 5
-4x2 -1x - 5
6x2 + 5x - 3
What does the "m" represent in a slope-intercept form equation (y= mx + b)?
m = y-intercept
m = slope
m = y
m = x
What does "b" represent in the slope-intercept equation (y = mx + b)?
b = the slope
b = the x-intercept
b = the y-intercept
b = barometer
How do you find the slope when given two points on a line?
m = rise/run
plug in a zero for y and solve for x
plug in a zero for x and solve for y
m = x2 − x1y2 − y1
Monica graphed y = -3x + 4. If the slope were multiplied by -2 and the y-intercept were shifted down 6 units, then which of the following equations may be used to represent the changes?
y = -2x + 6
y = 6x - 2
y = 3x - 8
y = -5x + 10
Connor has sold 15 cups of lemonade at his stand and will sell 5 more cups per hour. Write an equation to represent this situation.
y = 10x + 5
y = 20x
y = 15x + 5
y = 5x + 15
Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?
y = 150 + 40
y = 40x + 150
y = 150x + 40
y = 40 + 150x
A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?
y = 12.5x + 30
y = 12.5 + 30
y = 30x + 12.5
y = 30 - 12.5x
Consider the following polynomial functions.
f(a) = (2a-7+a2)
g(a) = (5-a)
Which of the following are true?
The expression that represents the sum of the polynomials is a first-degree polynomial.
The expression that represents the difference of the polynomials illustrates that polynomials are closed under subtraction.
The sum of f(a) and g(a) can be represented by the expression a2+a-2
The different of f(a) and g(a) can be represented by the expression a2+a-12
The product of f(a) and g(a) can be represented by the expression
-a3+3a2+17a-35
Which of the following statements about closure is NOT true?
Polynomials are closed under addition.
Polynomials are closed under subtraction.
Polynomials are closed under multiplication.
Polynomials are closed under division.
In ideal conditions, 200 colony-forming units (cfu) of E. coli can grow to 400 cfu in 20 minutes, to 800 cfu in 40 minutes, and to 1600 cfu in an hour.
Write the equation that models the function if x represents hours.
y = 200+200x
y= 200(2)x
y = 1600x
y = 200(8)x
y = 200*2x
A 25,000 gallon swimming pool needs to be completely drained for maintenance purposes. Your pump empties the pool at a rate of 30 gallons/minute.
Write an equation that can be used to determine the number of hours it will take to completely drain the pool.
25000-1800h
25000 = 1800h
30h = 25000
25000-30h
A gardener plants two types of trees in a park: Type A is five feet tall and grows at a rate of 12 inches per year. Type B is three feet tall and grows at a rate of 15 inches per year. Algebraically determine how many years it will take for these trees to be the same height.
6 years
7 years
8 years
9 years
10 years
A parking garage charges an initial fee of $7.00 for up to 2 hours of parking, and an hourly rate for each additional hour. The table below outlines the prices for up to 5 hours of parking. Which of the following linear equation(s) can be used to find x, the hourly parking rate after the initial fee?
7.00 + x = 20.50
11.50 + 2x = 20.50
7 + 4.50x = 16.00
3x + 7.00 = 20.50
An ice cream shop was doing research on its sales. The results showed that the relationship between the average daily temperature in Fahrenheit, t, and the daily ice cream profit in dollars, t, could be modeled by the equation c = 17.6t − 721.6. According to the model, which of the following temperatures to the nearest tenth of a degree would make the ice cream shop have a positive profit?
17.6oF
35.2oF
41.0oF
72.2oF
Based on the information provided, which statement explains why his solution is incorrect?
He forgot to multiply x by 2 in Step 1.
He added x to both sides of the equation in Step 2 instead of subtracting x.
He added 1 on both sides of the equation in Step 3 instead of subtracting 1
He multiplied by the reciprocal of 3 to get x = 2 in Step 4.
5(v + 3) - 10v > -10
Which expression is equivalent to (7x3)2 (x8)1/2?
14x10
49x10
14x7
49x7
Why didn't the skeleton go to the party?
He didn't have no body to go with
He got lost
He wasn't invited
What is the safest room to be in during a zombie apocalypse?
Bathroom
Living Room
Closet
Kitchen
g(x) is an increasing exponential function.
Which statement is true for all real values of the domain x>0?
domain
d(t) =−58t +1888. Based on the regression
function, which is the best estimate for the
total time it took the train to travel the
entire distance?
Jason bought 4 hamburgers and 3 drinks for $14.30.
How much would 1 hamburger and1 drink cost?
Which shows this expression completely factored?
-x2-2x+3=-5.
Find the slope of the line: 2y = 8x – 3
4
-3
-3/2
1/4
Write an expression which represents the area of a rectangle with sides measuring 2x2y4z units and
5xy4z3 units.
7x2y16z3
7x3y8z4
10x2y16z3
10x3y8z4
Which of the following equations match the given graph?
y≤−45x+3
y<45x+3
y≥−45x+3
y>−45x+3
If the blue graph (top graph) is f(x) = x2 , then the red graph (bottom graph) must be....
f(x)=x2 −5
f(x) = x2 +5
f(x)= (x−5)2
f(x) = (x+5)2
Is the following function an example of decay or growth?
f(x) = 2(1.25)x
Exponential Growth
Exponential Decay
What would hold about 4 litres of water?
A. Vase
B. Spoon
C. Bucket
D. Swimming Pool
Rewrite the following
∛x5
x3/5
x5/3
x2
x3⋅x5
y²⁄ ³
5x + 4y= −14
y = −7x − 15
(b+3)(b2+2b+1)
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
What is the common root of the quadratic equations x2 − 4 = 0 and x2 + 2x = 0 ?
A. x = 4
B. x = 2
C. x = - 2
D. x= - 4
Which of the following is equivalent to 4x - 3y = 15?
y=34x+15
y=34x−5
y=43x−5
y=34x+5
Which equation represents the line that passes through the points (9, -1)
and (2, -3)?
2x + 8y = 36
2x - 5y = 29
2x - 7y = 25
2x - 4y = - 11
Which graph best represents the solution set of
y < 3x - 4?
A
B
C
D
Which function represents m as a function of t?
A
B
C
D
The value of y varies directly with x.
If x = 4, then y = 10.
What is the value of x when y = 25?
10
2 21
15
6
What is the y-intercept of the line
5y = 20x - 35?
−35
20
−7
4
The values in the table represent a linear relationship between x and y.
What is the rate of change of y with respect to x?
−10
17
−17
10
What is the slope of the line that passes through the
points (- 6, 1) and (3, 7)?
23
2
32
38
The graph of a linear function is shown on the grid.
Which function is best represented by this graph?
g(x)=6x+4
g(x)=4x−32
g(x)=−23x+6
g(x)=−32x+4
Given the function f(x) = 4x - 5, what is the value of f(- 9/4)?
−14
4
14
−29
Which graph best represents the solution set of:
y≤−21x−3?
(a)
A system of equations is shown below:
2x - y = 3
x - 3y = 4
What is the value of y for the solution to the system?
(a)
Which graph best represents the equation y = 4x - 3?
D
C
B
A
What is the solution to the equation shown?
3x + 2 = x + 8
The system of equations shown on the graph above intersect at (3, -2). Which system of equations is graphed?
y=−2+3 , y=3x+9
y=3x+4 , y=−2x−3
y=−2x+4, y=31x−3
The line - 6x - 4y = - 5 is plotted on a graph. What is the slope of this line?
−6
−23
45
−4
The table of values above represent a linear function.
Which of the following equations represents the equation?
8x+y=23
−8x+y=23
8x+y=184
−8x+y=184
What is the x-intercept of the graph shown?
(a)
(3, 0)
Which equation has a graph that is parallel to the graph
y=−4x−4
y=−4x−46
y=41x+5
y=41x−225
What is the value of y in the solution
to this system of equations?
6y+x=−59
x=−2y+9
