Algebra A | Midterm Review (1.5-1.6, 1.8)

The Distributive Property of Multiplication over Addition

100

Use the distributive property to write an equivalent expression:

7(x - 4 + 6y)

7x - 28 + 42y

200

Factor:  8a + 16b + 64

8(a + 2b + 8)

300

Factor:  11x + 4xy + 5xz

x(11 + 4y + 5z)

400

Collect like terms:  

23 + 5t - 7y - 2t + y + 27

3t - 6y + 50

500

Simplify:  

-12a² + 7ab - 6ab + 8a²

-4a² + ab

Writing Expressions

100

Write as an algebraic expression:

a less than b

b - a

200

Write as an algebraic expression:

a number x increased by three times y

x + 3y

300

Let t be the number of television shows Melanie watched in one weekend.  Brenny watched 8 more tv shows.  Write an expression for the number of tv shows Brenny watched.

t + 8

400

Let p be the number of points Angie scored.  Marley scored 12 less than Angie.  Write an expression for the number of points Marley scored.

p - 12

500

Let c be the number of cookies that Daniela ate.  Clare at 1/3 as many.  Write an expression for the number of cookies Clare ate.

1/3 c  OR  c/3

Reasoning Strategies

100

A piece of ribbon is 168 cm long.  Raquel cuts it into 4 equal pieces to do her 4 cousins' hair.  How much ribbon did she use for each of her cousins?

42 cm

200

Melanie bought some ice cream cones, which cost $24.  She paid $m and got $6 in change.  How much did Melanie pay?

$30

300

The beach is twice as far from Brenny's house than the grocery store.  If the distance from Brenny's house to the grocery store is 17 miles, how far is Brenny's house to the beach?

34 miles

400

Etel bought 4 pens to add to her collection.  The next day, she lost half of her pen collection.  There are now only 31 pens left.  How many pens did Etel start with?

58 pens

500

There are some people on a bus.  After arriving at a stop, 2/5 of the people get off.  There are 30 people left on the bus.  How many people were originally on the bus?

50 peeps

Mixed 1

100

Simplify:  27c + 5 - 13c

14c + 5

200

Evaluate:

12m/18n for m = 12 and n = 8

1

300

Evaluate:

2x + y all over 5 for x = 4 and y = 2

2

400

Clare brought c Sour Patch Kids to school.  She shared it with 6 of her friends.  Write an expression to show how many Sour Patch Kids each friend has.

c/6

500

Determine whether each pair of equations is equivalent:

2y - 5 = 40 - 7y
2y - 5 + 7y = 40 -7y + 7y

Yes

Mixed 2

100

Solve:  7x + 4x = 165

x = 5

200

Factor:  30x - 55y +5

5(6x - 11y + 1)  

300

Evaluate:

x times y all over 6 + x + 2 all over 2
for x = 6 and y = 7

11

400

Raquel saves up her monthly allowance over a 6-month period to buy a pair of hi-resolution head phones.  She lends her friend $10 from her savings.  If Raquel has $272 now, calculate her monthly allowance.

$47

500

Determine whether each pair of equations is equivalent:

5 + 3x = 6x - 4
5 + 3x - 3x = 6x - 4 + 4

No