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Algebra
Review for 1st semester Exam
4 y 2  81
2b 2  bc  3c 2
5x 2  4 x  1
3m2  8m  5
2.
Simplify each expression.
Algebra, Exam1 Review (some of the problems are extracted from:
)
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Algebra
3. Use the distributive property to simplify.
 2(3x  y)  3(5 y  x)
4.
Give the prime factorization. Then find GCF.
of 546 and 392
6.
Solve each equation. Check and write the answer.
x  22  x  22  x  12  x  32
x  22  x  32  35
3x  22  4 x  32  5 x  12
x  7 x  1  x  12  5 x
4 x  29 x  2  6 x  12
5 x  22  12 x  22  13x  12
3x  22  5 x  12  4 x  32
x  22  x  22  7
7. Define the variable (assign the variable to one of the unknowns). Write an expression for the other unknown(s) using the variable.
Write an equation based on the facts of the problem. Then solve the equation and the problem. Write the answer for the problem.
Algebra, Exam1 Review (some of the problems are extracted from:
)
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Algebra
Adult tickets for the recital cost $9 each and student tickets cost $6
each. A total of 29 tickets were sold worth $210. How many adult
tickets were sold?
At its Grand Opening, the Guthrie Market distributed two different
types of souvenirs. One type costs 20 cents each, and the other type
costs 25 cents each. One thousand souvenirs were distributed in all. If
the cost of these souvenirs was $220, how many of each type were
distributed?
Ron earns $4 per hour on Saturdays and $5 per hour on Sundays. He The length of a rectangular playground exceeds twice its width by 25
worked 17 hours one weekend and earned $76. How many hours did meters. The perimeter of the playground is 650 meters. Find the
he work on Sunday?
dimensions of the playground.
Josh sells a total of 225 bagels and muffins in one day at his café. If
the number of muffins he sells is 15 more than twice the number of
bagels sold, how many bagels does he sells?
8.
Solve for the variable indicated. State any restrictions for variables.
Algebra, Exam1 Review (some of the problems are extracted from:
)
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