Intermediate Algebra -- DCA #2 -- Review

Valerie said that the GCF of two monomials is 7bc. What two monomials did she use?

• 35ab² and 7ab

• 35ab²c and 7bc²

• 14ab² and 7bc²

• 21ab²c and 7abc²

Which is a factored form of 4x² + 20x + 25?

• (2x - 5)²

• (2x + 5)²

• (2x - 5)(2x - 15)

• (2x + 5)(2x - 5)

Tags

CCSS.HSA.APR.C.4

A student tried to multiply two binomials. Their work is shown below: Step 1: (2x - 3)(x - 2) Step 2: 2x² - 4x - 3x - 6 Step 3: 2x² - 7x - 6 In which step did the student make the first error?

• Step 1

• Step 2

• Step 3

Tags

CCSS.HSA.APR.A.1

Which of the following binomials is a difference of squares?

• x² - 6

• 4x² - 1

• 5x² - 10

• x² + 25

Tags

CCSS.HSA.SSE.A.2

A student is factoring the problem 2n² + n - 15. The student has begun the factoring process and has gotten

2n(n + 3) - 5(n + 3).

What is the final result that the student got when factoring the problem?

• (n - 3)(2n + 5)

• (n + 3)(2n + 5)

• (n + 3)(2n - 5)

• cannot be factored

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

The rectangle has an area of x² + 11x + 28 square meters and a length of x + 7 meters. What expression represents the width of the rectangle.

• (x + 4)

• (2x + 2)

• (x - 4)

• (2x - 2)

Tags

CCSS.HSA.APR.D.6

Which binomial is a factor of the polynomial 2x² + 13x - 7?

• (x - 2)

• (x - 7)

• (x + 7)

• (x + 1)

Tags

CCSS.HSA.APR.B.2

Factor 6a³ - 3a² + 8a - 4 by grouping.

• (2a - 1)(3a² + 4)

• (2a + 4)(3a² - 1)

• (6a³ - 3a²)(8a - 4)

• cannot be factored

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Determine the number of real solutions for the quadratic x² + 2x + 5 = 0.

• No Solution

• One Solution

• Two Solutions

Tags

CCSS.HSA-REI.B.4B

Determine the number of real solutions for the quadratic x² + 6x - 7 = 0.

• No Solution

• One Solution

• Two Solutions

Tags

CCSS.HSA-REI.B.4B