Algebra Ch 1-5 Review

Solve by taking square roots.

2x² - 8 =100

• x = ±√54

• x = ±3√6

• x = ± 9√6

• x = ±2√27

Answer explanation

To solve 2x² - 8 = 100, first add 8 to both sides: 2x² = 108. Then divide by 2: x² = 54. Taking the square root gives x = ±√54, which simplifies to x = ±3√6. Thus, the correct answer is x = ±3√6.

Tags

CCSS.HSA.REI.B.4

Answer explanation

To solve \((x-8)^2=25\), take the square root of both sides: \(x-8=\pm5\). This gives \(x=13\) or \(x=3\). Thus, the correct answer is \(x=13\ \text{or}\ x=3\).

Tags

CCSS.HSA.REI.B.4

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4x², b = -8x, c = 3

• a = 4, b = -8, c = -3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

Answer explanation

To rewrite the equation in standard form, we move 3 to the left: 4x^2 - 8x - 3 = 0. Here, a = 4, b = -8, and c = -3, matching the correct choice: a = 4, b = -8, c = -3.

Tags

CCSS.HSA.REI.B.4

The discriminant is

• ax² + bx + c

• b - 4ac

• b² - 4ac

• b² + 4ac

Answer explanation

The discriminant of a quadratic equation ax² + bx + c is given by b² - 4ac. This value helps determine the nature of the roots of the equation, making b² - 4ac the correct choice.

Tags

CCSS.HSA.REI.B.4

Tags

CCSS.HSA.REI.B.4

12x = 144

• x = 12

• x = 4

• x = 2

• x = 132

Tags

CCSS.6.EE.B.7

Solve: 4k + 39 = 7k + 6

• k = 11

• k = 3

• k = -3

• k = -11

Solve: 15y + 5y - 6 = 17y

• y = 2

• y = -2

• y = 9

• y = -31

Write the equation for the table given

• y = 1/3x

• y = 3x

• y = -1/3x

• y = -3x

Tags

CCSS.6.EE.C.9

What is the correct equation in 
Slope-Intercept Form?
(y = mx +b)

• y = x + 2

• y = 2x - 1

• y = -x + 2

• y = -2x - 1

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2