Algebra Diagnostic Test
11) What is a numerical phrase?
12) What is an open phrase?
13) (3 x 4)² - 3 x 4²
14) 40 - {20 - { 10 - (5 - 2)]}
15) 40 - 20 ÷ 5 - 3
16) Evaluate (4X)² - 4X² if X = 5
17) Evaluate (X - Y)(X + Y) if X = 5 and Y = 3
18) Express the number of quarters in p pennies
19) Express the cost of b books if each book costs d dollars
10) X2 + X2
11) 5X + 3Y - 4X - 4Y - 7Z
12) (-3X3Y4)(-4X4Y6)
13 (-4X2Y3)3
14) (3X - 4Y)(4X - 3Y)
15) (4X - 3)2
16) (5X2 +8X - 2)(3X - 4)
17) (8X - 5) - (3X - 4X2)
18) 7(2X - 3) - 4(5X - 6)
19) Factor: XYZ - X
20) Factor: 4X4 - 4Y4
21) Factor: 5X4 - 25X2 + 20
22) Factor: 8X3Y4Z6
23) Reduce:
24) Subtract:
25) Divide:
26) Simplify:
27: Simplify:
28)
29)
30) Solve: X + 5 = 5
31) Solve: (X - 3)(X - 7) = 0
32) Solve: X + 4 = 4 + X
33) Solve: X + 5
34) X + 5 > 3
35) Write a solution for: X + 2Y = 10
36) Graph: X + 3 = 3 + X
37) Graph: X + 7
38) Graph: X + 7 = X
39) Graph: X(X - 2)(X + 3)(X - 6) = 0
40) Graph: X + 2Y = 10
41) Solve: 2(3X - 1) - 5(4X - 3) = 4(X + 1) - 27
42) What is a set?
43) What is a variable?
44) What is an operation?
45) What is a relation?
46) 8 - 12 + 3 - 14 - 5
47) 7 - (-7)
48) (-5) - (-11)
49) (-9) - (-4)
50) 5 - (-9)
51) 0 ÷ 10
52) 10 ÷ 0
53) 0 ÷ 0
54) 10 ÷ ½
55) (-13)2
56) (-4)3
57) (-3)4
58) (-2)5
59) (-1)6
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