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ALGEBRA 1 NAME______DATE______BLOCK______
2016 SPRING FINAL EXAM REVIEW
1.Use systems to solve: Goofy and Pluto together have $19. Pluto has $9 more than Goofy. How much money does Pluto have?$5
$10
$14
$28 / 2.Simplify: (5x + 3)(7x – 2)
3.Which pair of equations corresponds to the two lines in the graph?
/ 4.Match the inequality with its graph. (Two inequalities will not have a matching graph.)
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5.At a student bake sale cakes sold for $4 each and pies sold for $5 each. The students sold a total of 75 cakes and pies and made $340. Which pair of linear equations would determine the number of each ticket sold?
A.
B.
C.
D.340 / 6.
Simplify:
A.
B.
C.
D.
7.A rectangle has an area of x2 + 5x – 14. What 2 binomial represent the area? / 8.Multiply:
9.Factor: 64y2 - 25 / 10.A square room has an area of 4x2 + 16x + 16. What is the length of each side?
11.Simplify: (25b7)1/2 / 12.Find the missing factor:
13.Find the volume of the figure below.
/ 14.What is the area of the rectangle modeled below?
15.Simplify: / 16.The length of a side of a squareis . What is the area, A, of this square in terms of x? (Hint: Draw a square.)
17.Simplify: / 18.Factor Completely:
19.A rectangle has a length of and a width of What is the area of the rectangle? / 20.Graph and label the vertex for each:
- y = -(x + 4)2 - 5
- y = 4x2 + 16x + 16
21.Find the area of a square with a length of inches.
22.Factor Completely:
/ 23.The graph of the function f =2 is shown. If the parabolais changed by the criteria below, then write the new function.
24.Factor Completely:
i.
ii.
iii.
D. / 25.Solve for
26.The area of a rectangle is . Which of the following represents the dimensions?
i.
ii.
iii.
/ 27.Solve:
i.
ii.
iii.
iv.
28.Match the following functions to their graphs.
/ 29.The area of a triangle is given by the equation
where is the height of the triangle. What is the value of ?
30.What are the zeros to the quadratic function graphed below?
31.For the function what is the value of when ?
i.–23
ii.1
iii.41
iv.21 / 32.You deposit $500 into a savings account that pays 2.4% interest yearly. Write an exponential function (y = abx) that models the situation after x years.
33.Which statement describes the change in the graph of when the equation is changed to ?
a.The graph of the parabola moves left 4 units.
b.The graph of the parabola moves right 4 units.
c.The graph of the parabola moves up 4 units.
d.The graph of the parabola moves down 4 units. / 34.You bought a new iphone for $625. The value of the phone decreases each year by 5%. Write an exponential function that represents the value after x years.
35.What are the x-intercepts of
?
i.
ii.
iii.
iv. / 36.The function h(x) = 7(3)x represents the number of mice in a lab experiment after x years. What does the y-intercept of the graph represent?
37.Houses depreciate in value over time. Erin bought a house for $235,000, but it loses 15% of its value over time. What does the asymptote y = 0 represent in this situation? / 38.Evaluate for .
39.Write an equation of a line that isparallel to
i..
40.What has to be true fortwolines to be parallel?
______/ 41.The lengths of the sides of a quadrilateral are given as shown. Express the perimeter in terms of .
C.
42.Graph each of the following equations.(Hint: Each graphs a line.)
- Which graphed line is an example of an equation with a slope of zero?
- What is the slope of the other graphed line?
Now solve .
44.Solve:
i.
ii.
iii.
iv. / 45.Simplify completely:
i.
ii.
iii.
iv.
46.Two lines have the equations:
- At what point do the lines intersect?
B. (2, -3)
C. (4, -4)
D. (-4, 0) / 47.Choose the type of function represented below.
Linear
Quadratic
Exponential
None of the above
1
48.Choose the type of function represented below.i.Linear
ii.Quadratic
iii.Exponential
iv.None of the above / 49.What is a reasonable domain for the graph below?
50.Match the type of function represented below.
Linear
Quadratic
Exponential
/ 51.Solve the following systems of equations:
a. 3x – 2y = 14
6x + y = 18
x / -4 / 1 / 5 / 8 / 12
y1 / 10 / 0 / -8 / -14 / -22
y2 / 1 / 6 / 10 / 13 / 17
b.
52.A quadratic function is shown. If it is translated 5 units to the right and 2 units up, what would be the new equation?
/ 53.A quadratic has zeros of 5 and -7. Which of the following statements about the function is false?
a. The solutions are -7 and 5.
b. The standard form is y = x2 + 2x – 35.
c. The factored form is (x + 5)(x – 7).
d. The factored form is (x – 5)(x + 7).
54.State the vertex and x -intercepts(s) of the given graph.
A. vertex: (-1, -2) x-intercept(s): 4, 1
B. vertex: (-2, -8) x-intercept)s): 0
C. vertex: (-2, -7) x-intercept(s): -4, 0
D. vertex: (-4, 1) x-intercept(s): -4, 0 / 55.Identify the transformations to graph the following functions from the parent function y = x2:
f(x) = -2(x + 4)2 – 6
y = (x – 5)2 + 1
y = ½ (x + 9)2 – 4
56.Given the table, identify the axis of symmetry, vertex, y-intercept, and x-intercepts:
x / y
0 / 12
3 / -3
6 / 0
9 / 21
12 / 60
/ 57.Based on the graph, between which 2 values of x is a zero located?
58.An art student is drawing an arc that has a vertex at (5, 7). If one x-intercept is at (0, 0), where will the other x-intercept hit the x-axis? / 59.Which function has a vertex of (3, -1) and goes through the point (1, 3)?
a. y = (x–3)2 - 1 b. y = (x+3)2 – 1
c. y = 2(x+3)2 - 1 d. y = x2 + 3
60.Find the roots of the following quadratic functions:
4n2 + 7n + 3 = 0
y2 – 81 = 0
2a2 – 4a = 6 / 61.What is the range of the function f(x) = 2x2 + 6?
a. All real numbers.
b. All real numbers greater than or equal to 0.
c. All real numbers greater than or equal to 6.
d. All real numbers less than or equal to 6.