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Use completing the square to solve for mc024-1.jpg in the equation mc024-2.jpg. |
c x = 1 + 89 |
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Solve for mc022-1.jpg in the equation mc022-2.jpg. |
d x= 1 + 47 |
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Solve for mc018-1.jpg in the equation mc018-2.jpg. |
a x = 2 + 42 |
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Which value must be added to the expression x2 + 16x to make it a perfect-square trinomial? |
64 |
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Solve for mc010-1.jpg in the equation mc010-2.jpg. |
x = -16 or x -4 |
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Solve for mc011-1.jpg in the equation mc011-2.jpg. |
x = -1 + 17 |
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What are the solutions of the equation mc028-1.jpg? |
x = 3 or -7 |
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Solve for mc019-1.jpg in the equation mc019-2.jpg. |
x -7 +8i |
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Amira is solving the equation x2 – 6x = 1. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial? |
9 |
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Solve for mc016-1.jpg in the equation mc016-2.jpg. |
x 5+ 35 |
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The graph of an equation with a negative discriminant always has which characteristic? |
no x-intercept |
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What is the discriminant of 3×2 + 6x = 2? |
60 |
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Using the quadratic formula to solve x2 = 5 – x, what are the values of x? |
a |
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Which equation could generate the curve in the graph below? |
y = 3×2 – 2x + 1 |
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If the discriminant of a quadratic equation is equal to mc027-1.jpg, which statement describes the roots? |
There are two complex roots. |
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Which equation could generate the curve in the graph below? |
y = -2×2 – 16x- 28 |
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What is the discriminant of 9×2 + 2 = 10x? |
28 |
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Which equation has the solutions mc012-1.jpg? |
x2 + 3x + 3 = 0 |
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Which equation shows the quadratic formula used correctly to solve 7×2 = 9 + x for x? |
d |
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Which equation can be solved using the expression mc003-1.jpg for x? |
2 = 3x + 10×2 |
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Christian is rewriting an expression of the form y = ax2 + bx + c in the form y = a(x – h)2 + k. Which of the following must be true? |
the value of a remains the same |
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What is the first step when rewriting y = 6×2 + 18x + 14 in the form y = a(x – h)2 + k? |
6 must be factored from 6×2 + 18x |
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Which pair of equations generates graphs with the same vertex? |
y = -4×2 and y = 4×2 |
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Which phrase best describes the translation from the graph y = 6×2 to the graph of y = 6(x + 1)2? |
1 unit left |
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Which equation has a graph that is a parabola with a vertex at (-2, 0)? |
y = (x + 2)2 |
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Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form? |
b |
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What is the first step when rewriting y = 3×2 + 9x – 18 in the form y = a(x – h)2 + k? |
3 must be factored from 3×2 + 9x |
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Which phrase best describes the translation from the graph y = 2(x – 15)2 + 3 to the graph of y = 2(x – 11)2 + 3? |
4 units to the left |
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Which equation has a graph that is a parabola with a vertex at (5, 3)? |
y = (x – 5)2 + 3 |
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Which equation has a graph that is a parabola with a vertex at (-1, -1)? |
y = (x + 1)2 – 1 |
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If mc016-1.jpg, which inequality can be used to find the domain of f(x)? |
c |
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Which equation is the inverse of y = 16×2 + 1? |
d |
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Which equation is the inverse of y = 100 – x2? |
a |
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If fx = x-3, which inequality can be used to find the domain of f(x)? |
b |
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Which equation can be simplified to find the inverse of y = 2×2? |
d |
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What is the domain of the function y=sqr x+6-7 |
b |
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Which equation can be simplified to find the inverse of y = 5×2 + 10? |
a |
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What is the domain of the square root function graphed below? |
d |
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Which equation is the inverse of 5y+4=(x+362+1/2 |
d |
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What is the domain of the square root function graphed below? |
d |
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What are the solutions of the following system? -5 |
c |
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Pablo graphs a system of equations. One equation is quadratic and the other equation is linear. What is the greatest number of possible solutions to this system? |
2 |
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The vertex of a parabola is in the first quadrant of a coordinate grid. A line with a negative slope passes through the origin. If the parabola and line intersect at the origin, which statement must be true? |
The parabola opens downward. |
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Which equation could be used to solve the following system? |
4(11 – y)2 – 3y2 = 8 |
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Consider the following system of equations. |
The graphs of the equations intersect each other at two places. |
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Which graph shows the system mc021-1.jpg? |
a |
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How many solutions exist for the mixed-degree system graphed below? |
2 |
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Which system is equivalent to mc005-1.jpg? |
c |
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Parabola A can be represented using the equation (x + 3)2 = y, while Line B can be represented using the equation y = mx + 9. Isabel determines one solution to the system of two equations must always pass through the vertex of Parabola A. |
c. Isabel is incorrect because the point of intersection between Line B and Parabola A that can be determined is the y-intercept of the functions, not necessarily the vertex. |
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How many solutions exist for the mixed-degree system graphed below? |
1 |
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