Math 103 – Intermediate Algebra
Test 1 Review

Test 1 covers Chapter 2, Sections 3.3 – 3.7

1.	Find the slope of the following lines and then sketch each.

	a.			b.	

	c.		d.	

			

2.	Find the slope of each line and state whether each pair of lines is parallel or perpendicular.
	a.	, 	b.	, 

	b.	,	c.	, 

3.	Find an equation for a line that passes through the given point and is i) parallel and ii) 	perpendicular to the given line.
	a.	(2,3), 	b.	(1,0), 

4.	Solve each linear equation. Check your result.

	a.		b.	

	c.		d.	

5.	Solve for the specified variable.
	a.	Solve for C	b.	Solve for v0
		S = C + rC		h = s0 +  v0t  at2

	c.	Solve for y.
		ax + by = c

6.	Identify the equation as a conditional equation, an identity or an equation with no 	solution.

	a.		b.	

	c.		d.	

7.	Solve the absolute value equation if possible. Check your result.

	a.		b	

	c.		d.	

	d.	

8.	Determine if x = 3 is a solution to the inequality.
	a.	x – 5 < 2 – 3x	b.	| x – 7 | > 2

9.	Sketch the graph of the solution to the inequality.

	a		b.	

	c.		d. 4x – 3 > 5 and 4 – x > 3

10.	Solve the following and sketch the solution on the real number line.

	a.	                                 	b.  

	c.	| x – 12 | > – 2

Word Problems

11. Elka pays $1187.20 for a computer. If the price paid includes a 6% sales tax, what is the price of the computer itself?

12. The moving sidewalk in O’Hare Airport is 300 ft long and moves at a rate of 5 ft/sec. If Alida walks at a rate of 4 ft/sec, how long will it take her to walk the length of the moving sidewalk?

13.	The area of a parallelogram is 72 cm2. The height of the figure is 6 cm. How long is the base?

14.	A car leaves Rockford traveling toward Wausau at the rate of 55 mph. At the same time, another car leaves Wausau traveling toward Rockford at the rate of 50mph. How long will it take them to meet if the cities are 157.5 miles apart?

15.	A container is partially filled with 12 liters of whole milk containing 4% butter fat.  How much 1% milk must be added to get a mixture that is 2% butter fat?

16.	The width of a sheet of paper is 8 inches. Kathy wants to cut the length so that the 	perimeter is at least 32 inches but not more than 48 inches. Find the interval for the length, x.

17.	Retailers will buy 45 cordless phones from a wholesaler if the price is $10 each, but will buy only 20 if the price is $60 each. Assume that the relationship between price and demand is linear.
	a.	Write an equation of the line giving the demand x in terms of the price p.

b.	Use the equation to predict the number of phones that would be sold if the price dropped to $5 each.