Free Printable STEP 9 LEARNING MEASUREMENT TEST

1.

Simplify $\left(3x^4y\ +2x^3y^2-8x^2y^3+xy^4\right)-\left(-8x^4y+5x^2y^3\right)$

a)

$11x^4y-2x^3y^2-8x^2y^3+xy^4$

b)

$11x^4y+2x^3y^2-13x^2y^3+xy^4$

c)

$11x^4y-2x^3y^2+8x^2y^3-xy^4$

d)

$-11x^4y+2x^3y^2-8x^2y^3+xy^4$

2.

Simply $\left(9a^5b+3a^3b^3-9ab^5\right)+\left(4a^5b-8a^3b^3+6ab^5\right)$

a)

$13a^5b+5a^3b^3-3ab^5$

b)

$13a^5b-11a^3b^3+3ab^5$

c)

$13a^5b-5a^3b^3-15ab^5$

d)

$13a^5b-5a^3b^3-3ab^5$

3.

Find the perimeter.

a)

1.5x + 4.5

b)

3x + 8

c)

3x + 9

d)

1.5x + 4

4.

From 1890 through 1990, the total number of people T and the number of men M in the US labor force can be modeled by the following equations, where t is the number of years since 1890.

$T=0.0086t^2+0.087t+25.375$
$M=0.0016t^2+0.315t+19.467$

Find a model for the number of women W in the US labor force.

a)

$W=0.007t^2-0.228t+5.908$

b)

$W=-0.007t^2-0.228t+5.908$

c)

$W=0.008t^2-0.282t+5.908$

d)

$W=0.007t^2+0.228t-5.908$

5.

(4x+1)(5x−2)

a)

20x² + 3x − 2

b)

20x² − 11x + 5

c)

20x² − 18x + 2

d)

20x² − 3x − 2

6.

-5x⁶(3x² - 12x + 30)

a)

-15x⁸+ 60x⁷- 150x⁶

b)

15x⁸- 60x⁷- 150x⁶

c)

8x⁶- 17x + 35

d)

-8x⁶+ 17x - 35x²

7.

Simplify $\left(2x^3+4x^2-3x+5\right)\left(3x^2-5\right)$

a)

$6x^5-12x^4-19x^3-5x^2-15x+25$

b)

$6x^5+12x^4-19x^3-5x^2+15x-25$

c)

$6x^5+12x^4+19x^3+5x^2+15x+25$

8.

Find the volume of the rectangular prism.

a)

$2x^3+9x^2-18$

b)

$x^3+9x^2+18x$

c)

$x^3-2x+5$

9.

Divide using long division. $\left(x^2-3x-40\right)\div\left(x+5\right)$

a)

$x-8$

b)

$x+8$

c)

$x-6$

d)

$x+6$

10.

Divide using long division. $\left(9x^3-18x^2-x+2\right)\div\left(3x+1\right)$

a)

$3x^2+7x-14$

b)

$3x^2-7x-2$

c)

$3x^2-7x+14$

d)

$3x^2-7x+2$

11.

Divide using long division. $\left(x^4+3x^2+x+4\right)\div\left(x+3\right)$

a)

$x^3-3x^2+12x-35+\frac{109}{x+3}$

b)

$x^3+3x^2-12x-35+\frac{109}{x+3}$

c)

$x^3-3x^2-12x+30-\frac{109}{x+3}$

d)

$x^3+3x^2+10x-15+\frac{109}{x+3}$

12.

Divide using long division. $\left(x^5+1\right)\div\left(x+1\right)$

a)

$x^4-x^2+1$

b)

$x^4+x^3-x^2+x-1$

c)

$x^4-x^3+x^2-x+1$

d)

$x^4-x^3-x-1$

13.

Use synthetic division:
(2x³ - 5x - 7) ÷ (x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

14.

(2x³ - 5x - 7) ÷ (x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

15.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

16.

Factor Completely:
x² - 36

a)

(x + 9)(x - 4)

b)

(x - 6)(x - 6)

c)

(x - 9)(x + 4)

d)

(x + 6)(x - 6)

17.

8r³ + 16r²

a)

4r²(2r + 4)

b)

8r²(r + 2)

c)

8(r³ + r²)

d)

4(r³ + 2r²)

18.

Factor $4x^4-29x^2+25$

a)

$\left(2x^2+3x-5\right)\left(2x^2-3x-5\right)$

b)

$\left(2x^2+3x+5\right)\left(2x^2-3x-5\right)$

c)

$\left(2x^2+3x-5\right)\left(2x^2-3x+5\right)$

19.

FACTOR $a^2-4a+4-9b^2$

a)

$\left(a-2+3b\right)\left(a-2-3b\right)$

b)

\left(a+2+3b\right)\left(a-2-3b\right)

c)

$\left(a-2+3b\right)\left(a+2+3b\right)$

20.

Factor completely. $60t^3-200t^2-66t+220$

a)

$2\left(10t^2+11\right)\left(3t+10\right)$

b)

$2\left(10t^2-11\right)\left(3t+10\right)$

c)

$\left(10t^2-11\right)\left(3t-10\right)$

d)

$2\left(10t^2-11\right)\left(3t-10\right)$

STEP 9 LEARNING MEASUREMENT TEST

Total questions: 20

Worksheet time: 5hrs 0mins

Similar Resources on Wayground