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Transcript
Alg2MidTermReview
Multiple Choice
Identify the choice that best completes the statement or answers the question.
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1.
Solve: 3(x + 2) + 8 = 5x + 6
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2.
f(x) = 3x + 2 and g(x) = -2x+ 7
Find f(g(6))
____ 3.
The expression
models the height of an object t seconds after it has been dropped from a
height of 1700 feet. Find the height of an object after falling for 1.7 seconds.
Solve the equations.
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4.
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5.
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6.
A rectangle is 3 times as long as it is wide. The perimeter is 110 cm.
Find the dimensions of the rectangle. Round to the nearest tenth if necessary.
Solve the inequality..
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7.
-3x + 6 > 15
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8.
Write the equation of a line in standard for… slope = –3; (–1, 2)
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9.
Find the point-slope form of the equation of the line passing through the points (–3, –7) and (1, –4).
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10.
1
Find an equation for the line through (–6, –5) and perpendicular to y = x + 3.
2
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11.
3
Find an equation for the line through (–5, –7) and parallel to y =  x – 3.
2
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12.
What is the vertex of the graph of the function y = (x + 1)2 + 5
____ 13.
Compare the graphs of the pair of functions. Describe how the graph of the second function relates to
the graph of the first function. y = -2x2 and y = -2x2 + 3
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14.
Write the equation that is the translation of y = x2 right 2 units and up 12 units.
Solve the system.
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15.
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16.
_____ 17.
Find the values of x and y that maximize the objective function P = 5x + 3y for the graph.
What is the maximum value?
Determine whether the function is linear or quadratic.
Identify the quadratic, linear, and constant terms.
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18.
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19.
Identify the vertex and the y-intercept of the graph of the function
.
Factor the expression.
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20.
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21.
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22.
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23.
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24.
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25.
Solve by factoring.
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26.
Solve the equation by finding square roots…
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27.
Simplify
using the imaginary number i.
Write the number in the form a + bi.
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28.
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29.
–10 –
Simplify the expression.
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30.
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31.
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32.
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33.
=0
Solve the quadratic equation by completing the square.
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34.
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35.
Rewrite the equation in vertex form…
Use the Quadratic Formula to solve the equation.
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36.
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37.
Classify –6x5 – 2x4 + 7x3 by degree and by number of terms.
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38.
Write the expression (x + 5)(x – 2) as a polynomial in standard form.
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39.
Write a polynomial function in standard form with zeros at –5, 2, and –4.
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40.
Find the zeros of
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41.
Divide
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42.
Divide using synthetic division…
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43.
Use synthetic division to find P(4) for
and state the multiplicity.
by x – 2 using Long Division.
.