Review 1A has problems derived from portions 1 and 2 of the outline; revisit the outline as needed. If you click on the problem's number you will see a YouTube video of me going through and solving the problem.

**Review 1**

**SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.**

**Solve the equation.**

1) -2(x+9)-(-3x-3)=-4 2) 17x+10(x+1)=27(x+1)-17

**Write the inequality in interval notation and graph on a real number line.**

3) x>-5 4) -2<x<=2

**Translate the English statement into a mathematical statement. Do no solve.**

5) Two times a number, decreased by 4 is 5 less than the number.

6) Two-fifths of a number, increased by twice the difference of the number and 3, is more than 14.

**Solve the formula for the specified variable.**

7) P=2L+2W for L 8) F=(9/5)C+32 for C

**Solve the inequality. Graph the solution set and write it in interval notation.**

9) 8x+1>=7x+3 10) -2(2x+11)<-6x-4 11) 9x-6<=2x-15

**Solve for y.**

12) 2x-7y=6

**Solve.**

13) A salesman earns $200 weekly plus 5% commission on his weekly sales. If he wants to make at least $740 in a week, how much must his sales be?

14) A rectangular carpet has a perimeter of 266 inches. The length of the carpet is 95 inches more than the width. Find the dimensions of the carpet.

15) A chemist needs 140 milliliters of a 52% solution but has only 40% and 68% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.

16) A train leaves a town traveling at a speed of 16 miles per hour. Thirty minutes later another train, traveling at 64 miles per hour, leaves the same town in the same direction on a parallel track. How long will it take this train to catch up?

**Provide an appropriate response.**

17) Plot the following ordered pairs in the same xy-plane. Tell in which quadrant or on what coordinate axis each point lies. A(3,-6), B(0,-2), C(1,0), D(2,1), E(-2,-3), F(-2,4)

18) Determine whether the ordered pair is a point on the graph of the equation

y=(4x^2)-28x+48 a. (3,4) b.(3,-4) c.(4,4)

**Graph the equation by plotting points.**

19) y=2x-8 20) y=4x^2

**Provide an appropriate response**

21) Identify the intercepts from the graph below.

**Graph the linear equation, using any appropriate method.**

22) x-y=2 23) 3x+2y=0 24) 4x-6y=24 25) (1/4)x+(1/3)y=1 26) x=3 27) y=5

**Provide an appropriate response.**

28) Find the slope of the line containing the points (3,-1) and (13,-5).

29) Draw a graph of the line that contains the point (3,2) and has a slope of -3/4. Do not find the equation of the line.

30) Determine whether the graphs of the following pair of linear equations are parallel, perpendicular, or neither

3x-4y=-20 8x+6y=13

**Find the equation of the line with the given properties. Express your answer in slope-intercept form.**

31) Through the point (-5,8) and having a slope of -2

32) Through the points (-1,1) and (-4,-5).

33) Parallel to 8x+y=2 and through points (4,-5)

34) Perpendicular to x-3y=3 and through the point (4,-2)

**Provide an appropriate response.**

35) Determine whether (-6,3) is a solution to the linear inequality

x+2y>-6

**Graph the linear inequality.**

36) y<=-4x-3 37) 4x-5y>=0 38) x-y>-2 39) x>4 40) y>=1

**Provide an appropriate response.**

41) Identify the domain and the range of the relation, and determine whether relation represents a function or not. Explain why or why not.

{(3,18), (4,24), (5,30), (6,36)}42) Identify the domain and range of the relation from the graph.

43) Graph the relation y=(x^2)-4 by plotting points. Use the graph of the relation to identify the domain and range.

**Determine whether the relations represent functions. Identify the domain and range of each relation.**

44) 4-->24 7-->42 10-->60 13-->7845)

**Provide an appropriate response**

46) Does the equation y=+-3x represent a function? 47) For f(x)= -5x+11, find f(x+h) 48) For f(x)(x^2)+3x-6, find f(-1) 49) Sketch the graph of f(x)=(x^2)-3 50) Find the domain of f(x)= -12/(x+8) 51) h(x)= -2x+11 a. Is the point (4,3) on the graph of the function? b. If x=5, what is h(x)? What point is on the graph of the function? c. If h(x)=11, what is x? What point is on the graph of h? d. What is the zero of h?

**Solve.**

52) Solve: |6x+9|-8=0

**Solve the inequality. Graph the solution set and write it in interval notation.**

53) -9x>-18 and x+9>7

54) -2x<=-6 or 3x>9x-6

55) |7k-5|-4<3

56) |5k-9|>=7

Times and results

Attempt 1: 2 hrs 14 mn = 76%

Attempt 2: 1 hrs 37 mn = 91%

Attempt 3: 1 hrs 14 mn = 93%

Now: less than 1 hr = close to 100%.

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