Review for Individual Test 6
1.) A rectangle has a length of 8 and an unknown width x.
Draw a picture and write an expression for:
a. The perimeter of the rectangle.
b. The area of the rectangle.
2.) Tim is dividing up a 5 ½ pound bag of nuts into smaller portions.
a. How many
pound bags of nuts can be made from a 5 ½ pound bag of nuts?
b. How many
pound bags of nuts can be made from a 5 ½ pound bag of nuts?
c. How many
pound bags of nuts can be made from a 5 ½ pound bag of nuts?
3.) Calculate each expression below using the order of operations showing ALL of your work:
a.
17 + 3 ⋅ 2
b.
7 ⋅ 2 + 4 – 2(7 + 3)
32 + 5(1 – 3) + 4 ⋅ 5 + 1
c.
4.) Lynn has twenty big squares, seven rectangles, and sixteen small squares. She is working on her algebra
homework when her little brother sneaks in, takes eight big squares, two rectangles, and seven little squares,
and runs off with them. Write an algebraic expression describing the situation and the tiles Lynn has remaining.
Draw a picture if necessary.
5.) Combine like terms and rewrite the expression: 10x2 + 8x – 9 + 2x2 – 6x + 19
6.) What is the perimeter of the rectangle if…
a. x = 5?
X+6
X
b. x = 8.5?
7.) Fill in each blank to make the statement true. For A and D simplify the expression.
a.
2x + 10 + 3y + 4x + 12 + y = ___________________________________
b.
10x + 10y _________________ = 12x + 20y + 9 ___________________
c.
37x + y2 __________________ = 12x + 10x2 _____________________
d.
3x2 + 4x + 2x2 – 5x – 5x2 + 5 = _________________________________
8.) Write an algebraic expression representing the area of
algebra tiles shown to the right.
9.) Make a shape out of Algebra tiles and draw it below. What is the perimeter and area of the shape you
made?
11.) On the graph at right, plot and label the points A through G below.
A(7, 2)
B(5, –3)
C(–3, 0)
D(–6, –4)
E(–2, 8)
F(2, 2)
G(1, –9)