1) The document contains 11 math word problems involving calculations with integers, variables, equations, and inequalities. 2) The problems cover topics like evaluating expressions, combining like terms, solving equations, and word problems about costs and sharing money. 3) The full solutions are shown for each problem.

1. Test 2 Math 123a (Show all work.)
1. Calculate 5 – [3 – (4 – (–3))] – (–4 ) 2. Calculate 5 – 2[3 – 5 (-4 )]
5 – [3 – (7)] – (–4 ) 5 – 2[23]
= 5 + 4 + 4 = 13 = 5 – 46 = -41
3. Calculate a. –5 2 – (–3)2
–25 – 9 = –34
4. Evaluate a. –2x2 – x + 7 if x = – 3 5. b2 – 4ac if a = – 4, b = –3, c = 2
– (–3)2 – (–3 ) + 7 = 1 (–3)2 – 4(–4)(2) =41
Combine like-terms:
−5 2 1
6. A. 6
x + x −( − x )
3 4
7. 3(2x – 3y) – 4(-4y – 2x)
Solve the following equations:
8. A. 2(x – 5) + 2 = 8 9. 3x + 3( 1 – 2x) – x = 4(x – 3)
2x – 8 = 8 -4x + 3 = 4x – 12
x=8 15 = 8x
15/8 = x
10. Apple cost $ 2 a pound and pears cost $5 a pound. Let x be the number of lb of apples, y be the
number of lb of pears,
a. what is the total cost in terms of x and y b. How much more does the pear cost
(we bought more pears)
2x + 5y 5y – 2x
11. Many and Joe are to share $240 . Mary gets $ 30 more than twice of what Joe gets. Hon much does
each person get?
Let x =$ that Joe gets
then Mary gets (2x+30)
so x + (2x+30) = 240
x =70
Joe gets $70 are May gets $ 170