Algebra 1 BenchMark Review

Factor each completely.
x⁴ - 16

• (x² + 4)(x² - 4)
• (x² + 4)(x + 2)(x + 2)
• (x² - 4)(x² - 4)
• (x² + 4)(x + 2)(x - 2)

Tags

CCSS.HSA.SSE.A.2

Solve the System of Equations
y = 6x − 11
−2x − 3y = −7

• (1, 2)
• (3, 4)
• (2, 1)
• (4, 3)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Factor each completely.
16x⁴ - 81

• (4x² + 9)(4x² - 9)
• (4x² + 9)(2x + 3)(2x - 3)
• (4x² + 9)(4x² + 9)
• (4x² + 9)(2x + 3)(2x + 3)

Tags

CCSS.HSA.SSE.A.2

Solve the System of Equations
y = -2
5x - 4y = -3

• (3, 2)
• (-3, 2)
• (-3, -2)
• (3, -2)

Tags

CCSS.HSA.REI.C.6

Factor each completely.
2x² + 3x - 9

• (2n + 3)(n - 3)
• (3n - 2)(n + 2)
• (2n - 3)(n + 3)
• (3n + 2)(n - 2)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Four expressions are shown below.
 I  2(2x² − 2x − 60)
II  4(x² − x − 30)
 III  4(x + 6)(x − 5)
IV 4x(x−1)−120
The expression4x² −4x−120 is equivalent to

• I and II, only
• II and IV, only
• I, II, and IV
• II, III, and IV

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Last week, a candle store received $355.60 for selling 20 candles. Small candles sell for $10.98 and large candles sell for $27.98. How many large candles did the store sell?

• 6
• 8
• 10
• 12

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Which inequality is represented in the graph below?

• y ≥ −3x + 4
• y ≤ 3x + 4
• y ≥ −4x − 3
• y ≤ −4x − 3

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Factor each completely.
3p² - 2p - 5

• (3p - 5)(p + 1)
• (3p -1)(p + 5)
• (3p + 5)(p - 1)
• (3p + 5)(p + 1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

To watch a varsity basketball game, spectators must buy a ticket at the door. The cost of an adult ticket is $3.00 and the cost of a student ticket is $1.50. If the number of adult tickets sold is represented by a and student tickets sold by s, which expression represents the amount of money collected at the door from the ticket sales?

• 4.50as
• 4.50(a + s)
• (3.00a)(1.50s)
• 3.00a + 1.50s

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1