5/3/22 Alg 1 EOC STAAR Review

• 92

Answer explanation

Factor 184:  {1, 2, 4, 8, 23, 46, 92, 184}
4 is the largest perfect square
 $\sqrt{4\ \cdot\ 46}\ =\ \sqrt{4}\cdot\sqrt{46}\ =2\sqrt{46}$  

Which expression is equivalent to

(x⁹yz⁴)⁵

• x¹⁴y⁶z⁹

• x¹⁴y⁵z⁹

• x⁴⁵yz²⁰

• x⁴⁵y⁵z²⁰

Answer explanation

(x⁹yz⁴) is used five times so each power (9,1,4) is multiplied by 5

What is the solution to

4(y − 3) + 19 = 8(2y + 3) + 7?

• -1/2

• 1/2

• -2

• 2

Answer explanation

PEMDAS

4(y − 3) + 19 = 8(2y + 3) + 7

4y - 12 + 19 = 16y +24 + 7

4y + 7 = 16y + 31

-4y -31 -4y -31

-24 = 12y

-2 = y

Given p(x) = −4(x − 15)² + 2, what is the value of p(7)?

• 3574

• -3574

• -254

• 254

Answer explanation

−4(7 − 15)² + 2

-4(-8)² + 2 = -4(64) + 2 = -256 + 2 = -254

A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were black-and-white copies, and the rest were color copies.

• Each black-and-white copy cost $0.08.

• Each color copy cost $0.15.

Which system of equations can be used to find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop?

• b + =c 6.00

  0.08b + 0.15c = 68

• b + c = 68

  0.15b + 0.08c = 6.00

• b + c = 6.00

  0.15b + 0.08c = 68

• b + c = 68

  0.08b + 0.15c = 6.00

Answer explanation

6.00 = 0.08b + 0.15c

68 = b + c

Which expression is a factored form of

2x² − 25x + 63

• (x + 9)(2x + 7)

• (x − 9)(2x − 7)

• (x + 7)(2x + 9)

• (x − 7)(2x − 9)

Answer explanation

Factor 2 and 63: {1,2} and {1,3,7,9,21,63}

Because -25 is negative one of these must use negative factors and we must factor in the 2.

(x − 9)(2x − 7)

Which expression is equivalent to

36x⁴y⁵/(3xy)²

for all values of x and y where the expression is defined?

• 12x³y⁴

• 27x²y³

• 4x²y³

• 6x³y⁴

Answer explanation

36x⁴y⁵/(3xy)² =

36x⁴y⁵ / 9x²y² =

4x^4-2y^5-2 =

4x²y³

Which expression is equivalent to

16w² + 24w + 9

• (4w + 3)²

• (4w − 3)²

• (8w + 3)²

• (8w − 3)²

Answer explanation

16 and 9 are perfect squares

the factors 3 and 4 need to be positive

Which expression is equivalent to

(15a⁰b²c³⁴)(3a¹⁶b⁻²⁹c⁰)

for all values of a, b, and c where the expression is defined?

• 18 / b⁵⁸

• 45 / b⁵⁸

• 18a¹⁶c³⁴ / b²⁷

• 45a¹⁶c³⁴ / b²⁷

Answer explanation

(15a⁰b²c³⁴)(3a¹⁶b⁻²⁹c⁰)

[(15b²c³⁴)(3a¹⁶)] / b²⁹

45a¹⁶c³⁴ / b^29-2

45a¹⁶c³⁴ / b²⁷

Which expression is equivalent to

x² + 10x + 24

• (x + 1)(x + 24)

• (x + 2)(x + 12)

• (x + 3)(x + 8)

• (x + 4)(x + 6)

Answer explanation

Factor 24: {1,2,3,4,6,8,12,24}

We must use two when added together = 10