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BEGINNING ALGEBRA- MATH 0053 TEST 1: Ch 2 & Ch 3 (+ Prerequisite) Form A
Fall, 2007โ Olson READ DIRECTIONS CAREFULLY. NAME:. First Last Total is out of 100 pts. EQUIPMENT: pencil, eraser, color pencils, ruler, calculator. Show all work on the paper here (or as directed). Step DOWN between steps. (Keep exact answers.) Circle the final answer on multi- step (non-graph) problems. IF more space is needed to finish a problem, say โsee backโ and put just the finish on the back of another page. Little credit will be given for unsupported answers. (Projected time needed is โ 50 minutes.) Good LuckJ, remember good test-taking strategies, and to breathe.
(10 pts ea) Solve. Check.
m = โ
- โ5 y โ 2(โ5 y โ 2) = 2(โ5 y โ 9) โ 8
(6 pts) Solve the formula for the given variable.
3) (^32 )
C = F โ , for F
(6 pts) a) Solve. (State as a fraction or an integer.) b) Graph the solution set on a real number line****. c) State the solution set in interval notation.
- โ5x + 6 โค 4x + 9
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(6 pts ea) Applications: To receive full credit, show the full flow-chart process: i) Read, ii) Assign: Let x = (what words). (If appropriate, draw a sketch or use a table, showing what x represents there instead.); iii) Verbal (alge-English); iv) Equation; v) Solve; vi) Interpret and Write: a) Makes Sense (check against words)? b) English (write the final answer in a complete sentence ). (Leave answers exact unless otherwise directed or natural in the problem circumstances, e.g., if money, round to the hundredths, if a number of people, round to a whole, etc.)
The perimeter of a rectangular garden is 24 ft. The length is 2 ft more than the width. Find the length and the width of the garden.
A dress is marked 30% off. If the sale price is $20.97, what was the original price of the dress?
Three consecutive odd integers are such that three times the smallest is nine more than twice the largest. Find the three numbers.
A high school had two raffles to raise funds to purchase books for the library. One raffle offered tickets at $0.50 to win a new portable radio and the other offered tickets for $2 to win a new bike. There were 224 tickets sold bringing in $251.50 for the library. How many of each type of ticket were sold?
4
(5 pts ea) True or false. Show reasoning in either case. (No work and no words = no credit.)
- The slope of the line x + 3y = 6 (also graphed below) is positive.
y
x (6, 0)
5 is a solution of the inequality โ5x + 6 โค 4x + 9
(2 pts) Matching. Complete the following statements using the words/phrases in the list. Write just the letter for the appropriate phrase in each blank. Some words may not be used, and some may be used more than once. Some sentences require more than one response. a) bracket: [ or ] b) Cartesian c) closed d) coefficient e) inequality f) is greater than g) is greater than or equal to
h) is less than i) is less than or equal to j) left k) like terms l) linear m) numerical n) open
o) parenthesis: ( or ) p) reciprocal q) rectangular r) right s) slope t) solution u) solve v) term
w) x -axis x) x -intercept y) y -axis z) y -intercept
I. The coordinate system is also known as the rectangular coordinate system.
II. Terms which have the same variables raised to the same powers are called.
III. A of an inequality is any value that makes the inequality a true statement upon replacement.
IV. The arrow โโฅโ is read โ. โ The set is , meaning in the interval notation and on the number-line
graph, the end would be a. You would shade to the -side of that number (on the graph).
V. A equation (or inequality) can be recognized because all the variables are first degree (raised to the first power).
VI. The of a line measures the steepness or tilt of a line.
VII. A of an equation in two variables is any ordered pair of values that makes the equation a true statement upon replacement.
VIII. The horizontal axis is called the.
IX. A of an equation is any value that makes the equation a true statement upon replacement.
X. A is a point on a graph where it crosses the y -axis.
