Question 1

Solve the equation by completing the square.
-$15 \mathrm{~d}^{2}+43 \mathrm{~d}+30=0$

Accepted Answer

A)  $-\frac{5}{3},-\frac{6}{5}$ 
B)  $\frac{5}{3}, \frac{6}{5}$ 
C)  $\frac{3}{5}, \frac{5}{6}$ 
D)  $-\frac{3}{5},-\frac{6}{5}$ 
A)  $-\frac{5}{3},-\frac{6}{5}$ 
B)  $\frac{5}{3}, \frac{6}{5}$ 
C)  $\frac{3}{5}, \frac{5}{6}$ 
D)  $-\frac{3}{5},-\frac{6}{5}$ A

Question 2

Find the ordered pair for the vertex.
-$y=4 x^{2}-8 x+7$

Accepted Answer

A)  $(3,1)$ 
B)  $(-3,-1)$ 
C)  $(-1,-3)$ 
D)  $(1,3)$ 
A)  $(3,1)$ 
B)  $(-3,-1)$ 
C)  $(-1,-3)$ 
D)  $(1,3)$ D

Question 3

Find the function value.
-$f(x)=-2 x-1$, find $f(-5)$

Accepted Answer

A)  10 
B)  9 
C)  -9 
D)  -6 
A)  10 
B)  9 
C)  -9 
D)  -6 B

Question 4

Solve for the specified variable.
-$S=\frac{a}{1-r}$ for $r$

Accepted Answer

A)  $r=\frac{S-a}{S}$ 
B)  $r=S-a$ 
C)  $r=\frac{a}{S}-1$ 
D)  $r=\frac{a}{S}$ 
A)  $r=\frac{S-a}{S}$ 
B)  $r=S-a$ 
C)  $r=\frac{a}{S}-1$ 
D)  $r=\frac{a}{S}$

Question 5

Which one of the following methods cannot be used to solve the equation $x^{2}-4 x-1=0$ ?

Accepted Answer

A)  Quadratic formula 
B)  All of the methods can be used. 
C)  Factoring 
D)  Completing the square 
A)  Quadratic formula 
B)  All of the methods can be used. 
C)  Factoring 
D)  Completing the square

Question 6

Solve the problem.
-A rectangular garden has dimensions of 23 feet by 13 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 352 square feet?

Accepted Answer

A)  $6.5 \mathrm{ft}$ 
B)  $6 \mathrm{ft}$ 
C)  $4 \mathrm{ft}$ 
D)  $5 \mathrm{ft}$ 
A)  $6.5 \mathrm{ft}$ 
B)  $6 \mathrm{ft}$ 
C)  $4 \mathrm{ft}$ 
D)  $5 \mathrm{ft}$

Question 7

Graph the quadratic equation.
-$y=-4 x^{2}+16 x-17$

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 8

Suppose that a problem asks you to find the height of a triangle, and that the problem leads to a quadratic equation. If $\mathrm{h}$ represents the height of the triangle, which of the following solutions to the equation cannot be an answer to the problem?

Accepted Answer

A)  $h=\frac{3}{2}$ 
B)  $h=\frac{3}{4}$ 
C)  $\mathrm{h}=3+\sqrt{3}$ 
D)  $\mathrm{h}=3-\sqrt{3}$ 
A)  $h=\frac{3}{2}$ 
B)  $h=\frac{3}{4}$ 
C)  $\mathrm{h}=3+\sqrt{3}$ 
D)  $\mathrm{h}=3-\sqrt{3}$

Question 9

Solve the equation by completing the square.
-$z^{2}+10 z+4=0$

Accepted Answer

A)  $5 \pm \sqrt{4}$ 
B)  $5 \pm \sqrt{21}$ 
C)  $5+\sqrt{21}$ 
D)  $-10+\sqrt{21}$ 
A)  $5 \pm \sqrt{4}$ 
B)  $5 \pm \sqrt{21}$ 
C)  $5+\sqrt{21}$ 
D)  $-10+\sqrt{21}$

Question 10

Solve the equation.
-$12 \mathrm{~d}^{2}+40 \mathrm{~d}+25=0$

Accepted Answer

A)  $-\frac{2}{5},-\frac{5}{6}$ 
B)  $\frac{5}{2}, \frac{5}{6}$ 
C)  $-\frac{5}{2},-\frac{5}{6}$ 
D)  $\frac{2}{5}, \frac{6}{5}$ 
A)  $-\frac{2}{5},-\frac{5}{6}$ 
B)  $\frac{5}{2}, \frac{5}{6}$ 
C)  $-\frac{5}{2},-\frac{5}{6}$ 
D)  $\frac{2}{5}, \frac{6}{5}$

Question 11

Graph the quadratic equation.
-$y=\frac{1}{5} x^{2}$

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 12

Graph the quadratic equation.
-$y=x^{2}-2 x-8$

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 13

Write standard form and identify a, b, and c.
-$2 x^{2}-3=4 x-1$

Accepted Answer

A)  $2 x^{2}-4 x-2=0 ; a=2, b=-4, c=-2$ 
B)  $2 x^{2}+4 x+2=0 ; a=2, b=-4, c=2$ 
C)  $2 x^{2}+4 x+1=0 ; a=2, b=4, c=1$ 
D)  $2 x^{2}-4 x-3=-1 ; a=2, b=-4, c=-3$ 
A)  $2 x^{2}-4 x-2=0 ; a=2, b=-4, c=-2$ 
B)  $2 x^{2}+4 x+2=0 ; a=2, b=-4, c=2$ 
C)  $2 x^{2}+4 x+1=0 ; a=2, b=4, c=1$ 
D)  $2 x^{2}-4 x-3=-1 ; a=2, b=-4, c=-3$

Question 14

Solve for the indicated letter.
-Solve $S=x^{2}+y^{2}-8 x+10 y-4$ for $x$.

Accepted Answer

A)  $x=4 \pm \sqrt{12-y^{2}-10 y-S}$ 
B)  $x=4 \pm \sqrt{68-y^{2}-10 y+S}$ 
C)  $x=4 \pm \sqrt{20-y^{2}-10 y+S}$ 
D)  $x=4 \pm \sqrt{16-y^{2}-10 y+S}$ 
A)  $x=4 \pm \sqrt{12-y^{2}-10 y-S}$ 
B)  $x=4 \pm \sqrt{68-y^{2}-10 y+S}$ 
C)  $x=4 \pm \sqrt{20-y^{2}-10 y+S}$ 
D)  $x=4 \pm \sqrt{16-y^{2}-10 y+S}$

Question 15

Find the ordered pair for the vertex.
-$y=x^{2}+1$

Accepted Answer

A)  $(0,1)$ 
B)  $(0,-1)$ 
C)  $(-1,0)$ 
D)  $(1,0)$ 
A)  $(0,1)$ 
B)  $(0,-1)$ 
C)  $(-1,0)$ 
D)  $(1,0)$

Question 16

Solve the equation.
-$x^{2}+10 x+25=0$

Accepted Answer

A)  0,5 
B)  $-6,-4$ 
C)  -5 
D)  5 
A)  0,5 
B)  $-6,-4$ 
C)  -5 
D)  5

Question 17

Solve.
-The graph shows the relationship between the total surface area A of a square pyramid with a fixed base and its slant height $\mathrm{s}$. Find the slant height if the surface area is $220 \mathrm{~m}^{2}$.

Accepted Answer

A)  $14 \mathrm{~m}$ 
B)  $13 \mathrm{~m}$ 
C)  $15 \mathrm{~m}$ 
D)  $16 \mathrm{~m}$ 
A)  $14 \mathrm{~m}$ 
B)  $13 \mathrm{~m}$ 
C)  $15 \mathrm{~m}$ 
D)  $16 \mathrm{~m}$

Question 18

Solve the equation. Express radicals in simplest form.
-$x^{2}=25$

Accepted Answer

A)  12.5 
B)  5 
C) $\pm 6$ 
D)  $\pm 5$ 
A)  12.5 
B)  5 
C) $\pm 6$ 
D)  $\pm 5$

Question 19

Solve the problem.
-The mathematical model C(x) = 300x + 40,000 represents the cost in dollars a company has in manufacturing x items during a month. Based on this, how much does it cost to produce 200 items?

Accepted Answer

A)  $\$ 1$ 
B)  $\$ 60,000$ 
C)  $\$ 133$ 
D)  $\$ 100,000$ 
A)  $\$ 1$ 
B)  $\$ 60,000$ 
C)  $\$ 133$ 
D)  $\$ 100,000$

Question 20

Find the function value.
-$f(x)=(x-2)^{2}$, find $f(-6)$

Accepted Answer

A)  -64 
B)  16 
C)  64 
D)  -16 
A)  -64 
B)  16 
C)  64 
D)  -16

Solve the equation by completing the square. - $15 \mathrm{~d}^{2}+43 \mathrm{~d}+30=0$

Find the ordered pair for the vertex. - $y=4 x^{2}-8 x+7$

Find the function value. - $f(x)=-2 x-1$ , find $f(-5)$

Solve for the specified variable. - $S=\frac{a}{1-r}$ for $r$

Which one of the following methods cannot be used to solve the equation $x^{2}-4 x-1=0$ ?

Solve the problem. -A rectangular garden has dimensions of 23 feet by 13 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 352 square feet?

Graph the quadratic equation. - $y=-4 x^{2}+16 x-17$ $Graph the quadratic equation. - y=-4 x^{2}+16 x-17$

Suppose that a problem asks you to find the height of a triangle, and that the problem leads to a quadratic equation. If $\mathrm{h}$ represents the height of the triangle, which of the following solutions to the equation cannot be an answer to the problem?

Solve the equation by completing the square. - $z^{2}+10 z+4=0$

Solve the equation. - $12 \mathrm{~d}^{2}+40 \mathrm{~d}+25=0$

Graph the quadratic equation. - $y=\frac{1}{5} x^{2}$ $Graph the quadratic equation. - y=\frac{1}{5} x^{2}$

Graph the quadratic equation. - $y=x^{2}-2 x-8$ $Graph the quadratic equation. - y=x^{2}-2 x-8$

Write standard form and identify a, b, and c. - $2 x^{2}-3=4 x-1$

Solve for the indicated letter. -Solve $S=x^{2}+y^{2}-8 x+10 y-4$ for $x$ .

Find the ordered pair for the vertex. - $y=x^{2}+1$

Solve the equation. - $x^{2}+10 x+25=0$

Solve the equation. Express radicals in simplest form. - $x^{2}=25$

Solve the problem. -The mathematical model C(x) = 300x + 40,000 represents the cost in dollars a company has in manufacturing x items during a month. Based on this, how much does it cost to produce 200 items?

Find the function value. - $f(x)=(x-2)^{2}$ , find $f(-6)$

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Converting Units of Measurement

Filters

Exam 15: Quadratic Equations

Solve the equation by completing the square. - 15 d2+43 d+30=015 \mathrm{~d}^{2}+43 \mathrm{~d}+30=015 d2+43 d+30=0

Find the ordered pair for the vertex. - y=4x2−8x+7y=4 x^{2}-8 x+7y=4x2−8x+7

Find the function value. - f(x)=−2x−1f(x)=-2 x-1f(x)=−2x−1 , find f(−5)f(-5)f(−5)

Solve for the specified variable. - S=a1−rS=\frac{a}{1-r}S=1−ra​ for rrr

Which one of the following methods cannot be used to solve the equation x2−4x−1=0x^{2}-4 x-1=0x2−4x−1=0 ?

Solve the problem. -A rectangular garden has dimensions of 23 feet by 13 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 352 square feet?

Graph the quadratic equation. - y=−4x2+16x−17y=-4 x^{2}+16 x-17y=−4x2+16x−17

Suppose that a problem asks you to find the height of a triangle, and that the problem leads to a quadratic equation. If h\mathrm{h}h represents the height of the triangle, which of the following solutions to the equation cannot be an answer to the problem?

Solve the equation by completing the square. - z2+10z+4=0z^{2}+10 z+4=0z2+10z+4=0

Solve the equation. - 12 d2+40 d+25=012 \mathrm{~d}^{2}+40 \mathrm{~d}+25=012 d2+40 d+25=0

Graph the quadratic equation. - y=15x2y=\frac{1}{5} x^{2}y=51​x2

Graph the quadratic equation. - y=x2−2x−8y=x^{2}-2 x-8y=x2−2x−8

Write standard form and identify a, b, and c. - 2x2−3=4x−12 x^{2}-3=4 x-12x2−3=4x−1

Solve for the indicated letter. -Solve S=x2+y2−8x+10y−4S=x^{2}+y^{2}-8 x+10 y-4S=x2+y2−8x+10y−4 for xxx .

Find the ordered pair for the vertex. - y=x2+1y=x^{2}+1y=x2+1

Solve the equation. - x2+10x+25=0x^{2}+10 x+25=0x2+10x+25=0

Solve. -The graph shows the relationship between the total surface area A of a square pyramid with a fixed base and its slant height s\mathrm{s}s . Find the slant height if the surface area is 220 m2220 \mathrm{~m}^{2}220 m2 .

Solve the equation. Express radicals in simplest form. - x2=25x^{2}=25x2=25

Solve the problem. -The mathematical model C(x) = 300x + 40,000 represents the cost in dollars a company has in manufacturing x items during a month. Based on this, how much does it cost to produce 200 items?

Find the function value. - f(x)=(x−2)2f(x)=(x-2)^{2}f(x)=(x−2)2 , find f(−6)f(-6)f(−6)

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Converting Units of Measurement

Filters

Solve the equation by completing the square. - $15 \mathrm{~d}^{2}+43 \mathrm{~d}+30=0$

Find the ordered pair for the vertex. - $y=4 x^{2}-8 x+7$

Find the function value. - $f(x)=-2 x-1$ , find $f(-5)$

Solve for the specified variable. - $S=\frac{a}{1-r}$ for $r$

Which one of the following methods cannot be used to solve the equation $x^{2}-4 x-1=0$ ?

Graph the quadratic equation. - $y=-4 x^{2}+16 x-17$ $Graph the quadratic equation. - y=-4 x^{2}+16 x-17$

Suppose that a problem asks you to find the height of a triangle, and that the problem leads to a quadratic equation. If $\mathrm{h}$ represents the height of the triangle, which of the following solutions to the equation cannot be an answer to the problem?

Solve the equation by completing the square. - $z^{2}+10 z+4=0$

Solve the equation. - $12 \mathrm{~d}^{2}+40 \mathrm{~d}+25=0$

Graph the quadratic equation. - $y=\frac{1}{5} x^{2}$ $Graph the quadratic equation. - y=\frac{1}{5} x^{2}$

Graph the quadratic equation. - $y=x^{2}-2 x-8$ $Graph the quadratic equation. - y=x^{2}-2 x-8$

Write standard form and identify a, b, and c. - $2 x^{2}-3=4 x-1$

Solve for the indicated letter. -Solve $S=x^{2}+y^{2}-8 x+10 y-4$ for $x$ .

Find the ordered pair for the vertex. - $y=x^{2}+1$

Solve the equation. - $x^{2}+10 x+25=0$

Solve the equation. Express radicals in simplest form. - $x^{2}=25$

Find the function value. - $f(x)=(x-2)^{2}$ , find $f(-6)$