Exam Assignment

Question

1.

Graph the inequality. y > –2

2.

3x + 7 > 2x + 8

3.

Solve. Graph the solution set on a number line. 3x+4>2x-6. Choose the best description of the graph.

4.

Solve. 3x – 9 = 2x

5.

Find the slope of the line through the points (3, –6) and (10, 2).

6.

Find the y-intercept of the line represented by the following equation:

7x – y = –7

7.

Solve for x. x – 2 + 7x = 8x – 2

8.

Add these polynomials. (9y2-8)+(9y2-9)

9.

Combine like terms 8t + 10u – 9t

10.

A motorboat traveled 75 mi down river in 3 hrs. The return trip takes 5 hrs. What was the rate of the boat in still water? What was the rate of the current?

11.

Determine which two equations represent parallel lines.

(a) y = x + 4 (b) y = -x – 5 (c) y = 6x + 8 (d) y = 6x – 4

12.

Simplify and write your answer with only positive exponents. 

13.

Which of these is a solution for 3x-y=12?

14.

Multiply. (–2.5)(20)

15.

During rush hour, Fernando can drive 25 miles using the side roads in the same time that it takes to travel 20 miles on the freeway. If Fernando's rate on the side roads is 9 mi/h faster than his rate on the freeway, find his rate on the side roads.

16.

Are the following lines parallel, perpendicular, or neither?

L1 through (9, 2) and (3, –8) L2 through (–3, 5) and (5, –1)

17.

Ricardo is 4 years less than twice as old as his sister. The sum of their ages is 20. How old is Ricardo?

18.

Simplify sqrt32.

19.

Simplify. 

20.

Find the slope of the line through the points (9, 3) and (2, –6).

21.

Factor. 24x3 + 20x2

22.

Use the quadratic formula to solve the following equation. 2x2 + 5x – 1 = 0

23.

Identify the property that is illustrated by the following statement. 10 + 16 = 16 + 10

24.

The GCF of 6y + 3 is 3. The GCF of 10y + 12 is 2. Find the GCF of the product (6y + 3)(10y + 12).

25.

Peanuts sell for $3 per pound and raisins sell for $5 per pound. How much of each is needed to create 20 lb of a mixture that would sell for $3.50 per pound?

26.

Perform the indicated division. Rationalize the denominator, if necessary. Then, simplify.

27.

Determine which of the ordered pairs is a solution for the equation 3x – 5y = 15.

28.

Write in simplest form. 

29.

Solve for x. (x – 5)2 = 3

30.

Write 12/20 in simplest form.

31.

Fill in the blank: A polynomial is ________ a binomial.

32.

The base of a 17-ft ladder is 7 feet away from the wall. How far above the floor is the top of the ladder? Give your answer to the nearest thousandth.

33.

One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.

34.

Write in descending order and give the degree. 8 – x

35.

Find the GCF for 7 and 26.

36.

Solve for x.  x2 + 5 = 30

37.

Perform the indicated operations.

38.

Solve. 

39.

A chemist has a 35% and a 15% acid solution. How much of each solution should be used to form 50 mL of a 31% solution?

40.

Factor. 16x3 + 36x2

41.

Evaluate. 12 ÷ 2 – 6 ÷ 3

42.

Solve by completing the square. x2 + 12x + 32 = 0

43.

Give the coordinates of the point graphed below.

44.

Write the equation of the line that passes through point (0, –5) with a slope of –6.

45.

Solve the following system by adding.

-0.1x + 0.8y = -15.5 0.9x + 0.1y = -13.8

46.

One day, the temperature at 7:00 A.M. was 41°F, and by 3:00 P.M. the temperature was 57°F. What was the hourly rate of temperature change?

47.

Write the equation of a line with a slope of 5 and a y-intercept of -3.

48.

Write the equation of the line passing through (–3, –4) and (–3, –3). Write your results in slope-intercept form, if possible.

49.

The inventor of a new product believes that the cost of producing the product is given by the function C(x) = 1.45x + 5,000 How much does it cost to produce 6,000 units of his invention?

50.

Use the Pythagorean theorem to determine the length of the line segment. Round to the nearest hundredth.