24 Questions
Simplify the expression: $5^2 - 3^4 - 5^{16}$
-244227
Solve for $x$ in the equation: $4x - \frac{3}{3x} = 10$
x = 3
Factorise the expression: $x^2 - 3x + 2$
$(x-1)(x-2)$
Find a linear equation with a gradient of 2 that passes through the point (4, 11)
y = 2x + 3
Find the equation of the line passing through (3,16) and (7,-4)
y = -5x + 31
Rearrange the model 𝑩(𝒕) = 𝟑 + 𝟏𝟎𝒆𝒌𝒕 to solve for 𝒆𝒌𝒕.
𝒆𝒌𝒕 = (𝑩(𝒕) - 𝟑) / 𝟏𝟎
If 𝒌 = 𝟎. 𝟎𝟏, after 5 days, what will be the total number of bees?
𝑩(5) = 𝟑 + 𝟏𝟎𝑒^(0.01*5)
Solve the following equation: 𝟏𝟎𝑳𝒐𝒈 𝟏𝟎 (𝒙) = 𝟐𝟎
𝒙 = 𝑒^(2)
Rewrite 𝟐 𝑳𝒐𝒈 𝟐 (𝒙 + 𝟑) − 𝑳𝒐𝒈 𝟐 𝟑𝒙 as one logarithm.
𝑳𝒐𝒈 𝟐 ((𝒙 + 𝟑)^2 / 𝟑𝒙)
If 𝑓(𝑥) = 3𝑥^2 – 3 is reflected along the y-axis then shifted 2 units to the left, obtain 𝑔(𝑥). What is 𝑔(𝑥) in terms of 𝑥?
𝑔(𝑥) = 3(−(𝑥+2))^2 - 3
Is the statement y = sin(x) the same as y = -1 sin(x)?
ii. false
Is sin(45 degrees) equal to sin(pi / 4 radians)?
i. true
Is the trigonometric identity sin^2𝑥 + cos^2𝑥 = 1 true?
i. true
Which one is the correct mnemonic for trigonometric ratios?
iv. PASS THE EXAM
Simplify the expression: $(5^2 - 3^4) - 5^{16}$
-43046720
Factorise the expression: $6x^2 - x - 12$
$(2x-3)(3x+4)$
Find the equation of the line that passes through the points (3,16) and (7,-4)
$y = -5x + 31$
Solve for $x$ in the equation: $4x - \frac{3}{3x} = 10$
$x = \frac{3}{2}$ or $x = -\frac{3}{2}$
Find the initial value of the exponential equation $A(t) = \frac{21-7e^{-6t}}{1-4e^{-3t}}$
7
Rearrange the model to solve for 𝑒𝑘𝑡?
$𝑒𝑘𝑡 = rac{𝑩(𝒕) - 3}{10}$
If 𝒌 = 𝟎. 𝟎𝟏, after 5 days, what will be the total number of bees?
The total number of bees after 5 days will be 13.5
Solve the following equation: $𝟏𝟎𝑳𝒐𝒈 𝟏𝟎 (𝒙) = 𝟐𝟎$
$x = 2$
Rewrite $𝟐 𝑳𝒐𝒈 𝟐 (𝒙 + 𝟑) − 𝑳𝒐𝒈 𝟐 𝟑𝒙$ as one logarithm.
$rac{log((x+2)^2)}{log(3x)}$
If 𝑓(𝑥) = 3𝑥^2 – 3 is reflected along the y-axis then shifted 2 units to the left, obtain 𝑔(𝑥). What is 𝑔(𝑥) in terms of 𝑥?
$𝑔(𝑥) = 3(-x-2)^2 - 3$
This is an exam for Mathematics 1, where sufficient working out must be shown to avoid deduction of marks. The permissible materials include pens, pencils, rubbers, rulers, and white-out, but no calculators or unauthorized materials are allowed. The exam includes a reading time of 10 minutes and a writing time of 120 minutes.
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