Download 5.) Solve the inequality. -6 ≤ 3x - 3 ≤ 12 6.) Solve 4x + 5 = 10 7.) Is

Math 2113 Midterm Review
1.) Evaluate -5x5 + 4x - 5 when x = -2.
2.) Simplify the expression.
12(x-y2) - 13(x+y) + 5y2 - 6y
3.) Solve. 4(2x - 4) + 2x = -9(x + 7)
4.) Solve the inequality.
4 + 3x ≥ 10x + 18
Dec 8­7:54 AM
5.) Solve the inequality.
-6 ≤ 3x - 3 ≤ 12
6.) Solve 4x + 5 = 10
7.) Is the given relation a function?
{ (9,0) , (10, -1) , (14, 7) , (9, 7)}
8.) Find the slope of the line passing through
(4, -9) and (-7, 13)
Dec 8­7:59 AM
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9.) Graph the line: -4x + 6y = 12
10.) Write the equation of the line in slope-intercept
form that has a slope of 3 and passes through the
point (8, -1).
11.) Write the equation of the line that passes
through the points (9, -1) and (4, 0).
12.) Graph the absolute value function.
f(x) = -3 x + 2 - 4
Dec 8­8:03 AM
13.) Solve the system of linear equations.
5x - y = 16
2x + 3y = 3
14.) Solve the system of linear equations.
x + 3y = 18
-x + 2y = 7
15.) Find the vertex of the quadratic function.
f(x) = -2x2 + 4x + 6
16.) Graph the quadratic function.
f(x) = 3(x - 1)2 - 2
Dec 8­8:07 AM
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17.) Factor. x2 - 6x - 40
18.) Solve. 3x2 - 4 = 4x
19.) Simplify. √-100
20.) Simplify. (3 - 4i)(4 + 5i)
Dec 8­8:09 AM
21.) Solve. 2x2 + 7x - 5 = 3x
22.) Solve. 16x2 + 29 = 20
23.) Solve. x2 + 8x ≤ -15
24.) (2x-3y4)4
4xy-9
Dec 8­8:12 AM
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25.) Multiply. (4x - 9)(3x3 + 5)
26.) Add. (x2 + 4x - 5) + (-5x2 +5x -10)
27.) Factor. x3 + 2x2 - 9x - 18
28.) Divide the polynomials.
(x4 - 4x3 + 5x2 + 8x - 4)÷(x-2)
Dec 8­8:16 AM
29.) Subtract the matrices.
3 4
-1 2
-
-4 1
10 2
30.) Multiply the matrices.
9 10
-2 4
7 -2
8 0
Formulas you need to know:
Slope-intercept form: y = mx + b
Point-slope form: y - y1 = m(x - x1)
Vertex Formula: x = -b
2a
Quadratic Formula: x= -b ±√b2 -4ac
2a
Difference of Squares: a2 - b2 = (a - b)(a + b)
Quadratic Function in Vertex Form: y = a(x - h)2 + k
The vertex is (h, k).
Dec 8­8:18 AM
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