Question 1

Arrange the quadratic equation in standard form: $8 = 4 x ^ { 2 } - x$

Accepted Answer

A)  $4 x ^ { 2 } - x = 8$ 
B)  $4 x ^ { 2 } = x + 8$ 
C)  $- 4 x ^ { 2 } + x + 8 = 0$ 
D)  $4 x ^ { 2 } - x - 8 = 0$ 
A)  $4 x ^ { 2 } - x = 8$ 
B)  $4 x ^ { 2 } = x + 8$ 
C)  $- 4 x ^ { 2 } + x + 8 = 0$ 
D)  $4 x ^ { 2 } - x - 8 = 0$

Question 2

$$\text { Identify the equation } y = - 3 x ^ { 2 } + 1 \text { as linear, quadratic, or other. }$$

Accepted Answer

A) linear 
B) other 
C) quadratic 
A) linear 
B) other 
C) quadratic

Question 3

Solve the equation involving a square: 2a2 - 3= 15

Accepted Answer

A) x = ±4.24 
B) x = ±3 
C) x = 4.24 
D) x = 3 
A) x = ±4.24 
B) x = ±3 
C) x = 4.24 
D) x = 3

Question 4

Solve the following quadratic using any method: $x^ 2 = 64 .$

Accepted Answer

A)  $x = 8$ 
B)  $x = 8 i$ 
C)  $x = 8 , - 8$ 
D)  $x = 8 i , - 8 i$ 
A)  $x = 8$ 
B)  $x = 8 i$ 
C)  $x = 8 , - 8$ 
D)  $x = 8 i , - 8 i$

Question 5

Identify a, b, and c after arranging the equation in standard form: $5 x ^ { 2 } + 2 x = 7$

Accepted Answer

A)  a=-5,b=-2,c=7 
B)  a=5,b=2,c=-7 
C)  a=5,b=2,c=7 
D)  $a = 5 x ^2 , \mathrm {~b} = 2 x , \mathrm { c } = - 7$ 
A)  a=-5,b=-2,c=7 
B)  a=5,b=2,c=-7 
C)  a=5,b=2,c=7 
D)  $a = 5 x ^2 , \mathrm {~b} = 2 x , \mathrm { c } = - 7$

Question 6

Solve the following quadratic equation:
 $x ^ { 2 } - 3 x = 0$

Accepted Answer

The answer of Solve the following quadratic equation:
 \(x ^...

Question 7

Solve the quadratic equation, rounding to thousandths when necessary: $3 x ^ { 2 } + 2 = 50$

Accepted Answer

A) x=4,-4 
B) X=2,-2 
C) x=16,-16 
D)  $x = 4 i , - 4 i$ 
A) x=4,-4 
B) X=2,-2 
C) x=16,-16 
D)  $x = 4 i , - 4 i$

Question 8

Solve the equation involving a square: $x ^ { 2 } + 16 = 0$

Accepted Answer

A)  $x = - 16 i$ 
B)  $x = \pm 2 i$ 
C)  $x = - 4 i$ 
D)  $x = \pm 4 i$ 
A)  $x = - 16 i$ 
B)  $x = \pm 2 i$ 
C)  $x = - 4 i$ 
D)  $x = \pm 4 i$

Question 9

Identify a, b, and c after arranging the equation in standard form: $$2 x = x ^2$$

Accepted Answer

A) a = 2, b = -1, c = 0 
B) a = 1, b = -2, c = 0 
C) a = 2, b = 0, c = -1 
D) a = 1, b = 0, c = -2 
A) a = 2, b = -1, c = 0 
B) a = 1, b = -2, c = 0 
C) a = 2, b = 0, c = -1 
D) a = 1, b = 0, c = -2

Question 10

Arrange the quadratic equation in standard form: $3 x ^ { 2 } = 4$

Accepted Answer

A) $- 3 x ^ { 2 } - 4 = 0$ 
B)  $3 x ^ { 2 } - 4 = 0$ 
C) $- 3 x ^ { 2 } + 4 = 0$ 
D) $3 x^ 2 + 4 = 0$ 
A) $- 3 x ^ { 2 } - 4 = 0$ 
B)  $3 x ^ { 2 } - 4 = 0$ 
C) $- 3 x ^ { 2 } + 4 = 0$ 
D) $3 x^ 2 + 4 = 0$

Question 11

Solve the following quadratic equation:
 $x ^ { 2 } - 6 = 19$

Accepted Answer

The answer of Solve the following quadratic equation:
 \(x ^...

Question 12

Solve the equation with a squared term: $$4 x ^2 - 7 = 137$$

Accepted Answer

A) x = ±3 
B) x = 6 
C) x = ±6 
D) x = 3 
A) x = ±3 
B) x = 6 
C) x = ±6 
D) x = 3

Question 13

Identify the equation as pure quadratic, incomplete quadratic, complete quadratic, or not quadratic: $$x ^ { 2 } + 16 x = 0$$

Accepted Answer

A) Complete quadratic 
B) Pure quadratic 
C) Not quadratic 
D) Incomplete quadratic 
A) Complete quadratic 
B) Pure quadratic 
C) Not quadratic 
D) Incomplete quadratic

Question 14

Solve the following equation:
 $x ^ { 2 } = 81$

Accepted Answer

The answer of Solve the following equation:
 \(x ^ {...

Question 15

Solve the following quadratic equation:
 $2 x ^ { 2 } + 12 = 20$

Accepted Answer

The answer of Solve the following quadratic equation:
 \(2 x...

Question 16

Identify the equation as pure quadratic, incomplete quadratic, complete quadratic, or not quadratic: $$x ^ { 2 } + 4 x - 7 = 0$$

Accepted Answer

A) Complete quadratic 
B) Pure quadratic 
C) Incomplete quadratic 
D) Not quadratic 
A) Complete quadratic 
B) Pure quadratic 
C) Incomplete quadratic 
D) Not quadratic

Question 17

Solve the following quadratic equation:
 $9 x ^ { 2 } - 25 = 0$

Accepted Answer

The answer of Solve the following quadratic equation:
 \(9 x...

Question 18

Solve the quadratic equation, rounding to thousandths when necessary: $$16 x ^ { 2 } = 49$$

Accepted Answer

A) x = 0.57, -0.57 
B) x = 5.74, -5.74 
C) x = 1.75, -1.75 
D) x = 1.75 
A) x = 0.57, -0.57 
B) x = 5.74, -5.74 
C) x = 1.75, -1.75 
D) x = 1.75

Question 19

Solve the equation with a squared term: $$2 x ^ { 2 } - 7 = 91$$

Accepted Answer

A) x = ±7 
B) x = 7 
C) x = 4.950 
D) x = ±8.270 
A) x = ±7 
B) x = 7 
C) x = 4.950 
D) x = ±8.270

Question 20

Solve the following equation:
 $x ^ { 2 } + 3 = 39$

Accepted Answer

The answer of Solve the following equation:
 \(x ^ {...

Arrange the quadratic equation in standard form: $8 = 4 x ^ { 2 } - x$

$\text { Identify the equation } y = - 3 x ^ { 2 } + 1 \text { as linear, quadratic, or other. }$

Solve the equation involving a square: 2a² - 3= 15

Solve the following quadratic using any method: $x^ 2 = 64 .$

Identify a, b, and c after arranging the equation in standard form: $5 x ^ { 2 } + 2 x = 7$

Solve the following quadratic equation: $x ^ { 2 } - 3 x = 0$

Solve the quadratic equation, rounding to thousandths when necessary: $3 x ^ { 2 } + 2 = 50$

Solve the equation involving a square: $x ^ { 2 } + 16 = 0$

Identify a, b, and c after arranging the equation in standard form: $2 x = x ^2$

Arrange the quadratic equation in standard form: $3 x ^ { 2 } = 4$

Solve the following quadratic equation: $x ^ { 2 } - 6 = 19$

Solve the equation with a squared term: $4 x ^2 - 7 = 137$

Identify the equation as pure quadratic, incomplete quadratic, complete quadratic, or not quadratic: $x ^ { 2 } + 16 x = 0$

Solve the following equation: $x ^ { 2 } = 81$

Solve the following quadratic equation: $2 x ^ { 2 } + 12 = 20$

Identify the equation as pure quadratic, incomplete quadratic, complete quadratic, or not quadratic: $x ^ { 2 } + 4 x - 7 = 0$

Solve the following quadratic equation: $9 x ^ { 2 } - 25 = 0$

Solve the quadratic equation, rounding to thousandths when necessary: $16 x ^ { 2 } = 49$

Solve the equation with a squared term: $2 x ^ { 2 } - 7 = 91$

Solve the following equation: $x ^ { 2 } + 3 = 39$

Review of Basic Concepts

Review of Fractions

Percents

Measurement

Signed Numbers and Powers of 10

Statistics

Linear Equations and Inequalities

Formulas, Proportion, and Variation

Linear Equations, Functions, and Inequalities in Two Variables

Systems of Linear Equations

Powers and Polynomials

Roots and Radicals

Factoring

Rational Expressions, Equations, and Inequalities

Exponential and Logarithmic Equations

Geometry

Triangles

Right-Triangle Trigonometry

Trigonometry With Any Angle

Filters

Exam 15: Quadratic and Other Nonlinear Equations and Inequalities

Arrange the quadratic equation in standard form: 8=4x2−x8 = 4 x ^ { 2 } - x8=4x2−x

Identify the equation y=−3x2+1 as linear, quadratic, or other. \text { Identify the equation } y = - 3 x ^ { 2 } + 1 \text { as linear, quadratic, or other. } Identify the equation y=−3x2+1 as linear, quadratic, or other.

Solve the equation involving a square: 2a2 - 3= 15

Solve the following quadratic using any method: x2=64.x^ 2 = 64 .x2=64.

Identify a, b, and c after arranging the equation in standard form: 5x2+2x=75 x ^ { 2 } + 2 x = 75x2+2x=7

Solve the following quadratic equation: x2−3x=0x ^ { 2 } - 3 x = 0x2−3x=0

Solve the quadratic equation, rounding to thousandths when necessary: 3x2+2=503 x ^ { 2 } + 2 = 503x2+2=50

Solve the equation involving a square: x2+16=0x ^ { 2 } + 16 = 0x2+16=0

Identify a, b, and c after arranging the equation in standard form: 2x=x22 x = x ^22x=x2

Arrange the quadratic equation in standard form: 3x2=43 x ^ { 2 } = 43x2=4

Solve the following quadratic equation: x2−6=19x ^ { 2 } - 6 = 19x2−6=19

Solve the equation with a squared term: 4x2−7=1374 x ^2 - 7 = 1374x2−7=137

Identify the equation as pure quadratic, incomplete quadratic, complete quadratic, or not quadratic: x2+16x=0x ^ { 2 } + 16 x = 0x2+16x=0

Solve the following equation: x2=81x ^ { 2 } = 81x2=81

Solve the following quadratic equation: 2x2+12=202 x ^ { 2 } + 12 = 202x2+12=20

Identify the equation as pure quadratic, incomplete quadratic, complete quadratic, or not quadratic: x2+4x−7=0x ^ { 2 } + 4 x - 7 = 0x2+4x−7=0

Solve the following quadratic equation: 9x2−25=09 x ^ { 2 } - 25 = 09x2−25=0

Solve the quadratic equation, rounding to thousandths when necessary: 16x2=4916 x ^ { 2 } = 4916x2=49

Solve the equation with a squared term: 2x2−7=912 x ^ { 2 } - 7 = 912x2−7=91

Solve the following equation: x2+3=39x ^ { 2 } + 3 = 39x2+3=39

Review of Basic Concepts

Review of Fractions

Percents

Measurement

Signed Numbers and Powers of 10

Statistics

Linear Equations and Inequalities

Formulas, Proportion, and Variation

Linear Equations, Functions, and Inequalities in Two Variables

Systems of Linear Equations

Powers and Polynomials

Roots and Radicals

Factoring

Rational Expressions, Equations, and Inequalities

Exponential and Logarithmic Equations

Geometry

Triangles

Right-Triangle Trigonometry

Trigonometry With Any Angle

Filters

Arrange the quadratic equation in standard form: $8 = 4 x ^ { 2 } - x$

$\text { Identify the equation } y = - 3 x ^ { 2 } + 1 \text { as linear, quadratic, or other. }$

Solve the equation involving a square: 2a² - 3= 15

Solve the following quadratic using any method: $x^ 2 = 64 .$

Identify a, b, and c after arranging the equation in standard form: $5 x ^ { 2 } + 2 x = 7$

Solve the following quadratic equation: $x ^ { 2 } - 3 x = 0$

Solve the quadratic equation, rounding to thousandths when necessary: $3 x ^ { 2 } + 2 = 50$

Solve the equation involving a square: $x ^ { 2 } + 16 = 0$

Identify a, b, and c after arranging the equation in standard form: $2 x = x ^2$

Arrange the quadratic equation in standard form: $3 x ^ { 2 } = 4$

Solve the following quadratic equation: $x ^ { 2 } - 6 = 19$

Solve the equation with a squared term: $4 x ^2 - 7 = 137$

Identify the equation as pure quadratic, incomplete quadratic, complete quadratic, or not quadratic: $x ^ { 2 } + 16 x = 0$

Solve the following equation: $x ^ { 2 } = 81$

Solve the following quadratic equation: $2 x ^ { 2 } + 12 = 20$

Identify the equation as pure quadratic, incomplete quadratic, complete quadratic, or not quadratic: $x ^ { 2 } + 4 x - 7 = 0$

Solve the following quadratic equation: $9 x ^ { 2 } - 25 = 0$

Solve the quadratic equation, rounding to thousandths when necessary: $16 x ^ { 2 } = 49$

Solve the equation with a squared term: $2 x ^ { 2 } - 7 = 91$

Solve the following equation: $x ^ { 2 } + 3 = 39$