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WorksheetsSTAAR Review
Total questions: 138
Worksheet time: 7hrs 29mins
What is the vertex form of a quadratic function?
f(x) = 2a(x-h)2 + k
f(x) = a(x-h)2 + k
f(x) = (x+h)2 + k
f(x) = a(x-h) - k
Identify the vertex of f(x) = -2(x+1)2 + 3
(h,k)
(3, 1)
(-1,-3)
(-1,3)
What does the quadratic function that has a vertex of (3,4) look like?
y = a(x+3)2 + 4
y = a(x-3)2 + 4
y = -a(x+3) - 4
y = a(x-3)2 - 4
What steps transform the graph y = x2 to y = 2(x+2)2 - 5?
Compress by 2, shifted 2 units left and 5 down
Stretch by 5, shifted 5 units left and 2 down
Stretch by 2, shifted 2 units left and 5 down
Compress by 5, shifted 2 units left and 2 down
What steps transform the graph y = x2 to y = -1/2(x-4)2 + 1?
Compressed by 1/2, shifted 4 units right and 1 unit up
Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up
Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up
Stretched by 1/2, shifted 4 units right and 1 unit down
Identify the vertex of f(x) = 5(x+6)2 - 7
(5,6)
(0,0)
(6,-7)
(-6,-7)
What steps transform the graph y = x2 to y = x2 + 8
shifted up 8 units
shifted down 8 units
shifted left 8 units
shifted right 8 units
What steps transform the graph y = x2 to y = (x - 4)2
Shifted down 4 units
Shifted left 4 units
Shifted right 4 units
Shifted up 4 units
Match the equation to its description.
Reflected over x-axis and shifted up 4
Reflected over x-axis and shifted down 4
Reflected over x-axis and shifted right 4
Reflected over x-axis and shifted left 4
Match the equation to its description.
Vertically stretched by 4 and shifted up 4
Vertically compressed by 4 and shifted up 4
Vertically stretched by 4 and shifted right 4
Vertically compressed by 4 and shifted right 4
If the blue is f(x)=x2, then the red must be
g(x)=x2 - 5
g(x)=x2 + 5
g(x)=(x - 5)2
g(x)=(x + 5)2
What is the vertex of this equation?
y = (x + 4)2 -6
Pay attention to negative signs!
(4, 6)
(-4, -6)
(-4, 6)
(4, -6)
What variable typically represents the domain?
x
y
DOMAIN is found by reading the ends of a graph from ___ to ___.
Right to left
Left to right
Bottom to top
Top to bottom
What variable typically represents the range?
x
y
RANGE is found by reading the ends of a graph from ___ to ___.
Right to left
Left to right
Bottom to top
Top to bottom
(x3)6
x2x3
(9n4)(6n7)
According to exponent rules, when we divide the expressions we _______ the exponents.
add
subtract
multiply
divide
Simplify the expression.
8287
85
814
89
15
Simplify the following expression.
(x3)6
x3
x9
x18
x2
Simplify the expression.
b2b7×b3
b5
b8
b19
b10
Evaluate 5x4⋅4x5
x24
4
20x9
x49
Evaluate 3v2⋅5v−3
v15
20v
20v5
15v5
Evaluate 5n−4⋅2n6
n18
n912
18n7
10n2
Simplify 4r35r6
r23
23r
45r4
45r3
Simplify 5x66x−5
2x43
5x116
2x31
56x2
Simplify (2p3)−3
16p10
8p91
p98
243p10
(2n−3)5
n1036
n41
n1532
256n8
3x + 2y = 16
7x + y = 19
y = 2x + 1
y = 4x - 1
2x + 4y = 450
2x + 4y = 315
3x + 4y = 450
x+y=87
1.5x+0.5y=87
1.5x+0.5y=87
x+y=87
2x + 3y = 6
x - 2y = -4
y = 2x + 1
y = 4x - 1
y = 3x - 8
y = 4 - x
What is the solution to the system of equations?
(2, -2)
(2, 2)
No Solution
(-2, -2)
What is the solution to the system of equations?
(-1, -3)
(3, 1)
(1, 3)
(-3, -1)
What is the solution to the systems of equations?
(-7, -9)
(-10, 5)
No Solution
Infinitely Many Solutions
y = 2x - 3
x = 2y - 3
x = 3 - 2y
x = 33 - 2y
Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?
4x + 6y = 3
13.5x - 13y = 6
x + y = 4
x - y = 6
4x + 6y = 13
3x + 7y = 13.5
4x - 6y = 13
3x - 7y = 13.5
3S + 4A = 1740
4S + 3A = 1740
3S + 4A = 530
4S + 3A = 530
Saulo is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, Saulo made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?
1.5x+0.5y=78.5
x+y=87
1.5x+0.5y=78.5
1.5x+0.5y=87
x+y=78.5
1.5x+0.5y=87
x+y=78.5
x+y=87
1z = 0.75
3q + 1z = 0.75
q + z = 0.75
3q + 1z = 1.32
Tania had 35 coins in pennies and nickels. She had $1.03. Which system of equations could be used to determine the number of coins she has?
.01p + .05n = 35
p + n = 103
1p + 5n = 1.03
p + n = 35
.01p + .05n = 1.03
p + n = 35
.05p + .01n = 1.03
p + n = 35
.05n+.10d=1.35
n+d=1.35
n+d=17
I have a total of $2.25 in dimes and nickels. I have twice as many dimes as nickels.
Which system of equations could be used to determine how many of each kind of coin I have?
Let d = number of dimes I have and
n = number of nickels I have.
0.10d + 0.05n = 2.25
d = 2n
0.05d + 0.10n = 2.25
d = 2n
0.10d + 0.05n = 2.25
n = 2d
0.05d + 0.10n = 2.25
n = 2d
Lizzy has 30 coins that total $4.80. All of her coins are dimes, D, and quarters, Q. Which system of equations models this situation?
D + Q = 4.80
0.10D + 0.25Q = 30
D + Q = 30
0.10D + 0.25Q = 4.80
D + Q = 30
0.25D + 0.10Q = 4.80
D + Q = 4.80
0.25D + 0.10Q = 30
Is (0,0) a solution to the system?
Solution
Not a solution
Which point is a solution to the system of inequalities?
(-8,2)
(-2,-5)
(0,6)
(4, 3)
y < 3
y > 3
y < 3
y > 3
Solve the system of inequalities by graphing.
Solve the system of inequalities by graphing.
Slopes of parallel lines are...
opposite reciprocals.
opposites.
identical.
always 7.
m = 4
m = 5/8
m = 3
y = 5/7x - 30
These lines are...
y = -6x + 2
These lines are...
y = 3/2x + 9
These lines are...
What is it's slope?
What is the slope of this line?
Are the two linear equations parallel, perpendicular, or neither?
Parallel
Perpendicular
Neither
Are the two linear equations parallel, perpendicular, or neither?
Parallel
Perpendicular
Neither
Are the two linear equations parallel, perpendicular, or neither?
Parallel
Perpendicular
Neither
y = 3x - 3
These lines are...
y = 3/2x + 9
These lines are...
Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)
y = -1/3x - 5
y = 3x-29
y = 1/3x -5
y = -1/3x +1
If the lines are parallel to each other and the slope of the blue line is 1/4, what is the slope of the purple line?
4
-4
−41
41
If the lines are perpendicular to each other and the slope of the blue line is 21 , what is the slope of the purple line?
2
-2
−21
21
Choose the linear equation that is parallel to the following line
y=−41x−1
y=−41x+5
y=41x−1
y=−4x−1
y=4x−1
Choose the linear equation that is perpendicular to the following line
y=−41x−1
y=−41x+5
y=41x−1
y=−4x−1
y=4x−3
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.
Identify the initial value:
y = 6.87 (4)x
a = 4
a = 6.87
a = 3
a = 1
In an exponential function, what does the 'a' represent?
Input
Rate of change
Y-intercept/Initial value
Output
In an exponential function, what does the 'b' represent?
Input
Rate of change
Y-intercept
Output
In the linear equation, y = mx + b, the letter b is the ___________.
y-intercept/initial value
x-intercept
slope
rate of change
In the linear equation, y = mx + b, the letter m is the ___________.
y-intercept/initial value
x-intercept
slope/rate
multiplier
Which equation is represented by the table?
y = 40(2)x
y = 40(1/2)x
y = 40 - 2x
y = 40 - 1/2x
Write the function for the following table:
f(x) = 5x + .08
f(x)= 5x + 2
f(x) = .08(5)x
f(x)= 2(5)x
Write the function for the following table:
f(x)= 1(2)x
f(x)= 2(1)x
f(x) = 2x+1
f(x)= x+2
Suppose the population of a species of insects doubles every year. There are 1600 insects initially. The function for the scenario would be?
f(x)=2x+1600
f(x)=1600×2
f(x)=1600⋅2x
Use the function m(t)=.05(2)t where M is the amount of money you have after t days.
How much money will you have after 14 days?
$ 819.20
$ 1.4
$ 140
Which of the graphs represents the linear inequality y≤−x−4 ?
Which of the following linear inequalities represents the graph?
y≥3x−5
y≥31x−5
y≤−31x−5
y>31x+5
Which of the following linear inequalities represents the graph?
y≥3
x≥3
y≤3
y<3
Which of the following linear inequalities represents the graph?
x≥2
x≥−2
y≥−2
y>−2
Which of the following linear inequalities represents the graph?
y≥3x
y>3x
y<3x
y>31x
5 ≥ x
(4, -7); m = -1/4
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?
What is the equation of the line y + 5 = -3(x - 6) in slope intercept form?
y = -3x - 23
y = -3x -13
y = -3x - 11
y = -3x+13
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
y - 4 = -1/3(x - 7),
what are the coordinates for the point?
x + y = -1
x - y = 2
x + y = 2
6x - y = 1
5x + y = -5
4x - 3y = 15
5x - 4y = -20
x + 5y = -25
what is the first step to solve for slope intercept form on
-x + 4y = 11
subtract 11 from both sides
add x to both sides
subtract x from both sides
put in th y=
