| Translate each into algebraic expression. | Express each algebraic expression in to a sentence or a phrase. | Simplify the following algebraic expressions. |
|---|---|---|
| 1. Add 134 to r __________________ |
1. 37h __________________ |
1. 9b + 3v + 4b __________________ |
| 2. 6 times of q __________________ |
2. d - o __________________ |
2. 52 - 6i -1i + 89 __________________ |
| 3. Divide 3 by 2q __________________ |
3. 56/4p __________________ |
3. (9 - 1 + 7y)7 __________________ |
| 4. a times 4 __________________ |
4. c + 19j __________________ |
4. 12u x l ÷ 4a __________________ |
| 5. Subtract 13 from 17 __________________ |
5. 7/v __________________ |
5. (m + 2n) x 9y __________________ |
| If h = 6, find the value of each expression. | Using substitution, find the value of the remaining unknown in each of the following formulas. |
|---|---|
| 1. h + 8 __________________ |
1. S = 2D; if D = 9 __________________ |
| 2. 24 ÷ h __________________ |
2. v = 20 - hr; if h = -8 and r = 12 __________________ |
| 3. 5h __________________ |
3. o = r (3 + 9r); if r = 6 __________________ |
| 4. 30 - 5h __________________ |
4. m = vo (o + 1); if v = 4 and o = 5 __________________ |
| 5. h2 - 5 __________________ |
5. S = 18 (e + a); if e = 46 and a = -6 __________________ |
| Find the value of each polynomial with the given value of x | |||
|---|---|---|---|
| Polynomial | x = -1 | x = 0 | x = 2 |
| 1. 2x | |||
| 2. 3x2 + 1 | |||
| 3. - x3 + 5 | |||
| 4. 6 - x +4 x2 | |||
| Write down the like terms in each of the listed terms. | Simplify the following polynomials. |
|---|---|
| 1. 7d, 5h,2d __________________ |
1. 37h + 7g __________________ |
| 2. 6p4, 14l3, 56l3 __________________ |
2. d - o + 4o - 2 __________________ |
| 3. 1at, 12fo, 20rm __________________ |
3. 56p + 5d - 5 __________________ |
| 4. -100iz, 130iz,89iz __________________ |
4. (675op - 47o + 78p) - (12p + 6o - 16op) __________________ |
| 5. 21uk2, 35u9, 31hu __________________ |
5. (17m + 1c - 3z) + (v5 - 5z + 7m + 18c) __________________ |
| Perform multiplication in each of the following: | |
|---|---|
| 1. 4(2a + 3p) __________________ |
2. p(2p -2) __________________ |
| 3. -a(j + k) __________________ |
4. (x2 - 2x + 1)(x + 2) __________________ |
| 5. (2v - 7)(3v + 4) __________________ |
6. (-10p2 - 4p + 8)(9p - 7) __________________ |
| 7. -2t(-t - p) __________________ |
8. (u - 7)(u - 2i) __________________ |
| Expand the expressoin by using the identities of the perfect square. | Find the value of each by using the identities of the perfect square. | |
|---|---|---|
| 1. (a - 7)2 __________________ |
2. (3x + 1)2 __________________ |
1. 2992 __________________ |
| 3. (2a + 3b)2 __________________ |
4. (3x - y)2 __________________ |
2. 1962 __________________ |
| Divide. Write the answer as a polynomial or a mixed expression. | |
|---|---|
| 1. (x2 + 6x + 8 ) ÷ (x + 2) __________________ |
2. (2y2 + 5y + 2) ÷ (y + 2) __________________ |
| 3. (3y - y2 + 2y3 + 2) ÷ (2y + 1) __________________ |
4. (2y2 - 13y + 21) ÷ (y - 3) __________________ |
| 5. (x2 + 7x + 10) ÷ (x + 5) __________________ |
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