CCGPS Coordinate AlgebraName:

Test 3Date:

Algebraic Expressions & Equations

SHOW AND LABEL ALL WORK!!

  1. 15642 g = ? kg1.______
  1. Round 5,992,519.839465 to the nearest hundred-thousandth.2.______
  1. Round 5,992,519.839465 to the nearest hundred-thousand.3.______
  1. Write the expression “the difference of a number squared4.______

and twelve” algebraically.

  1. For the expression in #4, let the number = 5. Solve.5.______

Nameeachpolynomialbydegreeandnumber of terms.

  1. 2x14+56a2-8a6.______
  1. -3n3+n27.______
  1. 9a6+3a5−4a3−3a+9 8.______

Write each number in standard format.

  1. 3.443 × 10-79.______
  1. 1.525 × 106 10.______
  1. 1.21561 × 10-511.______

Write each number in scientific notation.

  1. 0.07882 12.______
  1. 0.00000272338 13.______
  1. 118000 14.______

Find the sum or difference of the following:

  1. (6x+4)+(x+5)15.______
  1. (4m4-m2) + (5m2+m4)16.______
  1. (3x2+5) - (x2-2)17.______

Find the product of the following:

  1. 2n(n-2)18.______
  1. (x+2)219.______
  1. (a+2)(2a3-4a2+6a-8)20.______

Bonus:

Simplify and then classify by degree andnumber of terms:B.______

3x +2x2(5x − 4)

SHOW AND LABEL ALL WORK!!

  1. 15.642 kg = ?g1.______
  1. Round 5,942,519.839464 to the nearest hundred-thousand.2.______
  1. Round 5,942,519.839464 to the nearest hundred-thousandth.3.______
  1. Write the expression “the sum of a number squared4.______

and twelve” algebraically.

  1. For the expression in #4, let the number = 8. Solve.5.______

Nameeachpolynomialbydegreeandnumber of terms.

  1. 2x4+56a12-8a6.______
  1. -3n3+n47.______
  1. 9a6+3a5−4a13−3a+9 8.______

Write each number in standard format.

  1. 3.443 × 1079.______
  1. 1.525 × 10-6 10.______
  1. 1.21561× 10511.______

Write each number in scientific notation.

  1. 0.7882 12.______
  1. 0.0000272338 13.______
  1. 1180000 14.______

Find the sum or difference of the following:

  1. (6x+4)-(x+5)15.______
  1. (4m4-m2) - (5m2+m4)16.______
  1. (3x2+5) + (x2-2)17.______

Find the product of the following:

  1. 2n(n+2)18.______
  1. (x-2)219.______
  1. (a-2)(2a3+4a2-6a+8)20.______

Bonus:

Simplify and then classify by degree andnumber of terms:B.______

3x -2x2(5x + 4)

  1. When making a fence for my new home, the fence posts are 12 feet apart. If each slat is 24 inches wide, how many slats are between any two posts?
  1. Suppose a map has a scale where each grid square represents 9 square feet. The garage on this map is 5 squares away from the street. How far is the garage from the street?
  1. 253 in = ______ft ______in
  1. 358 in = ______ft ______in
  1. 14’9” = ______inches
  1. 5102’12” = ______inches

Determine the range of acceptable measurements given the tolerance.

  1. 408 m  12%
  1. 3056 kg  117kg

Kevin ran at a rate of 19 km/hr.

  1. Convert his speed to meters per day.
  1. Convert his speed to cm per min
  1. A piece of paper is 11” x 14”. The area is __?__ square inches?
  1. 1 inch = 2.5 cm. Convert the answer in Question 11 to centimeters.
  1. Blueprints that are 3’6” x 1’10” have an area of __?__ square inches?
  1. Suppose a room has an area of 414 ft2, and is 18 feet wide. What is the length of the room?
  1. When making a fence for my new home, the fence posts are 14 feet apart. If each slat is 24 inches wide, how many slats are between any two posts?

Consider the graph below, where time(hours) is the independent variable, and distance (miles) is the dependent variable.

  1. How long was this trip?
  1. How far away from home did we travel?
  1. What is the average speed between 0 and 11 hours?
  1. What was the total time in which there was no movement?
  1. When making a fence for my new home, the fence posts are 18 feet apart. If each slat is 24 inches wide, how many slats are between any two posts?
  1. Suppose a map has a scale where each grid square represents 16 square feet. The garage on this map is 5 squares away from the street. How far is the garage from the street?
  1. 453 in = ______ft ______in
  1. 258 in = ______ft ______in
  1. 16’9” = ______inches
  1. 3102’12” = ______inches

Determine the range of acceptable measurements given the tolerance.

  1. 608 m  12%
  1. 1056 kg  117kg

Kevin ran at a rate of 21 km/hr.

  1. Convert his speed to meters per day.
  1. Convert his speed to cm per min
  1. A piece of paper is 8” x 14”. The area is __?__ square inches?
  1. 1 inch = 2.5 cm. Convert the answer in Question 11 to square centimeters.
  1. Blueprints that are 4’6” x 2’10” have an area of __?__ square inches?
  1. Suppose a room has an area of 414 ft2, and is 23 feet wide. What is the length of the room?
  1. When making a fence for my new home, the fence posts are 16 feet apart. If each slat is 24 inches wide, how many slats are between any two posts?

Consider the graph below, where time(hours) is the independent variable, and distance (miles) is the dependent variable.

  1. How long was this trip?
  1. How far away from home did we travel?
  1. What is the average speed between 0 and 11 hours?
  1. What was the total time in which there was no movement?

Simplify each expression.

1)1. ______

2)2. ______

3)3. ______

4)4. ______

5)5. ______

6)6. ______

7)7. ______

8)8. ______

9) 9. ______

10) 10. ______

11) 11. ______

Find the dimensions, area and perimeter for the area model.

CCGPS Coordinate AlgebraName:

Unit 1 Test 3Date:

Algebraic Expressions & Equations

12. Length: ______

x 813. Width: ______

x 14. Area: ______

8 15. Perimeter: ______

Find the dimensions, area and perimeter for the area model.

CCGPS Coordinate AlgebraName:

Unit 1 Test 3Date:

Algebraic Expressions & Equations

16. Length: ______

x4x+417. Width: ______

x 18. Area: ______

2 19. Perimeter: ______

Solve the following equations for x.

CCGPS Coordinate AlgebraName:

Unit 1 Test 3Date:

Algebraic Expressions & Equations

20) = 20. ______

21) 4x + 3 = 8x – 11 21. ______

CCGPS Coordinate AlgebraName:

Unit 1 Test 3Date:

Algebraic Expressions & Equations

22) -6x – 23 = 4x + 57 22. ______

CCGPS Coordinate AlgebraName:

Test 3Date:

Algebraic Expressions & Equations

23) -x + 6 = x – 18 23. ______

24) 4(x – 8) = 6x + 16 24. ______

25) 328 in = ______ft ______in 25. ______

Simplify each expression.

1)-1. ______

2)2. ______

3)3. ______

4)4. ______

5)5. ______

6)6. ______

7)7. ______

8)8. ______

9) 9. ______

10) 10. ______

11) 11. ______

Find the dimensions, area and perimeter for the area model.

CCGPS Coordinate AlgebraName:

Unit 1 Test 3Date:

Algebraic Expressions & Equations

12. Length: ______

x 613. Width: ______

x 14. Area: ______

6 15. Perimeter: ______

Find the dimensions, area and perimeter for the area model.

CCGPS Coordinate AlgebraName:

Unit 1 Test 3Date:

Algebraic Expressions & Equations

16. Length: ______

x2x+217. Width: ______

x 18. Area: ______

4 19. Perimeter: ______

Solve the following equations for x.

CCGPS Coordinate Algebra Name:

Unit 1 Test 1Date:

20) = 20. ______

21) 4x - 3 = 8x + 1121. ______

22) 6x + 23 = 4x - 5722. ______

23) x - 6 = x + 1823. ______

24) 4(x + 8) = 6x - 1624. ______

25) 340 in = ______ft ______in 25. ______

Identify the choice that best completes or answers the question.

For #1-4, let m(x) = .

_____1.What output matches the input of x = -2?

a. -3c. 3

b. -1d. 1

_____2.What coordinate point matches the input x = -2?

a. (-2, -1)c. (-2, 1)

b. (-1, 1)d. (1,

_____3.What is the slope of m(x)?

a.c.

b.d.

_____4.What is the y-intercept of m(x)?

a. -3c. -

b. 18d.

_____5.What is the output of b(x) = ∙ at x = -2?

a. -6c. -

b. 18d.

_____6.For b(x) = ∙ what coordinate point matches the input x = 0?

a. (0,)c. (0,0)

b. (1,)d. answer not listed

For #7-10, let 9x + 10y + 8 = 0.

_____7.What is the slope-intercept form of9x + 10y + 8 = 0?

a. y = - x + c. y = - x +

b. 5x + 6y = 7d. x = 1

_____8.What is the y-intercept of 9x + 10y + 8 = 0?

a. - c. 6

b. d. 5

_____9.What is the slope of g(x)9x + 10y + 8 = 0?

a. - c. -7

b. - d. 5

_____10.What is the slope of the line shown?

a. c.-

b.- d.

_____11. Find the slope through the points (-5,-2) and (-3,0)

a. 1c.-

b.- d. -10

______12.Write the slope intercept form of line shown:

a. y = - x + 4c. y = x + 4

b. y = -3x + 4d. y = 3x + 4

_____13.Which answer is equivalent to the inequality shown?

a. x < 1c. x > 1

b. x ≤ 1d. x ≥ 1

_____14. Which answer is equivalent to the inequality shown?

a.- x ≥ -2c. -x ≥ 2

b. -x ≤ -2d. -x ≤ 2

_____15. For the equation 2x-y >1, which point is in the shaded area?

a. (2,1)c. (1,2)

b. (1,1)d. (0,0)

_____16. Solve for k: = 1

a. c.

b.d.

_____17.Solve for n:- = n-11

a. c. -

b. - d. -20

_____18.Solve for x: 5(4x + 2) = 2(-3 + 6x)

a. 10c. -10

b. 2d. -2

_____19.Solve for x:-5(2x + 6) = 4(- 5 − 2x) + 3x

a. 10c. -10

b. 2d. -2