The value of `6t^2` when `t = –4` is
| `– 96` | `– 48` | `96` | `576` |
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Aussie Maths & Science Teachers: Save your time with SmarterEd
The value of `6t^2` when `t = –4` is
| `– 96` | `– 48` | `96` | `576` |
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`96`
`text(When)\ \ t = -4,`
| `6t^2` | `= 6 (-4)^2` |
| `= 6 xx 16` | |
| `= 96` |
When `p = 3` and `q = –3`, what is the value of `p^2 + q^2`?
| `p^2 + q^2 =` |
`18`
| `p^2 + q^2` | `= 3^2 + (-3)^2` |
| `= 9 + 9` | |
| `= 18` |
What is the value of `6 + 2x - x^2` when `x = −3`?
| `−9` | `3` | `9` | `21` |
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`−9`
| `6 + 2x – x^2` | `= 6 + 2(−3) – (−3)^2` |
| `= 6 – 6 – 9` | |
| `= −9` |
Ice cream is put into a waffle cone so it fills the cone to the top.
The volume, `V`, of the cone is given by the rule `V = (pir^2h)/3`,
where `r` is the radius of the cone in centimetres and `h` is the height in centimetres.
When `h = 12` and `r = 3`, the volume of the cone is closest to
| `38\ text(cm)³` | `113\ text(cm)³` | `339\ text(cm)³` | `452\ text(cm)³` |
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`113\ text(cm)³`
| `V` | `= (pi xx 3^2 xx 12)/3` |
| `= 113.097…\ text(cm)³` | |
| `=113\ text{cm³ (nearest cm³)}` |
The value of `y` can be calculated by using the rule `y = 8 - x^2`.
What is the value of `y` when `x = 2.5?`
| `1.75` | `3` | `5.5` | `6.25` |
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`1.75`
| `y` | `= 8 – x^2` |
| `= 8 – (2.5)^2` | |
| `= 8 – 6.25` | |
| `= 1.75` |
`a` is a positive whole number.
Which of the equations below is not true?
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`a + a + a = 3a` |
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`a^3 = 3 xx a` |
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`-a + a = 0` |
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`a ÷ a = 1` |
`a^3 = 3 xx a`
| `a^3` | `= a xx a xx a` |
| `!= 3 xx a` |
Which expression is equal to `4a^4`?
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`8 xx a` |
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`16 xx a` |
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`4 xx a xx a xx a xx a` |
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`4 + a + a + a + a` |
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`4 xx 4 xx 4 xx 4 xx a xx a xx a xx a` |
`4 xx a xx a xx a xx a`
`4a^4 = 4 xx a xx a xx a xx a`
Which expression equals `a^3`?
| `(a + a + a + a)/a` | `a^2 + a` | `3 × a` | `a × a × a` |
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`a × a × a`
`a × a × a`
`y = 4x^2 - 7`
What is the value of `y` when `x = 3.1?`
| `5.4` | `17.8` | `31.44` | `146.76` |
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`31.44`
| `y` | `= 4 (3.1)^2 – 7` |
| `= 38.44 – 7` | |
| `= 31.44` |
Which expression is equivalent to `4x^2-12x + x^3?`
| `4(x^2-3x + x^3)` | `4x (x-3 + x^2)` | `x^2 (4-12 + x)` | `x (4x-12 + x^2)` |
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`x (4x-12 + x^2)`
`x (4x-12 + x^2)`
`= 4x^2-12x + x^3`