Algebra Semester Exam Review

Determine in which step a mistake first appears.

• Step 1

• Step 2

• Step 3

• Step 4

Which shows the circumference of a circle formula C = 2πr solved in terms of r?

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Tags

CCSS.HSA.CED.A.4

Solve for x: 4x - 5(x - 3) < 8

• x < 7

• x < -23

• x > -23

• x > 7

Millie purchased just enough fencing to border either a rectangular or triangular garden, as shown, whose perimeters are the same. How many feet of fence did she buy?

• 14 feet

• 62 feet

• 8 feet

• 124 feet

Tags

CCSS.3.MD.D.8

You are planning to rent a hotel room. The cost of the room is $50 to rent the room plus $5 per person. You have a budget of $80. Which inequality gives you the best estimate of the number of people, p, that you can bring to the hotel room?

• 5 + 50p ≥ 80

• 50 + 5p ≥ 80

• 50 + 5p ≤ 80

• 5 + 50p ≤ 80

Tags

CCSS.7.EE.B.4B

Which inequality represents the situation "no more than 140 people came to the basketball game"?

• p > 140

• p ≥ 140

• p ≤ 140

• p < 140

Tags

CCSS.6.EE.B.8

If A = ½ bh, what is the value of A when b=8x³y⁴ and h = 12x^-1y² ?

• 96x^-2y⁶

• 48x²y⁶

• 4x^-3y⁸

• 48x⁴y²

Which expression represents the area of a square with sides measuring 6a²bc⁰ feet?

• 36a⁴bc feet²

• 24a⁴b feet²

• 24a⁴b²c feet²

• 36a⁴b² feet²

The number of students at Allen High and the number of students at McKinney High over a 10 year period can be modeled by the following polynomials.

Allen High: -15x² + 148x + 1400

McKinney High: -8x² + 105x + 900

In each polynomial, x=0 corresponds to the first year in the 10 year period. What polynomial models the total number of students at both high schools?

• -23x² + 253x + 2300

• -7x² + 43x + 500

• 7x² - 43x - 500

• 120x² + 15540x + 1260000

What is the first step in simplifying the expression 4 + 8(x - 4)

• Add 4 and 8 to make 12(x - 4)

• Distribute 8 to make 4 + 8x - 32

• Distribute the 4 and 8 to make 12x - 48

• This expression cannot be simplified because they are not like terms

Tags

CCSS.6.EE.A.3